Relevant bibliographies by topics / Formule de trace

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Formule de trace'

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Published: 4 June 2021
Last updated: 8 June 2024

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Journal articles on the topic "Formule de trace"

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Hillairet, Luc. "Formule de trace sur une surface euclidienne à singularités coniques." Comptes Rendus Mathematique 335, no. 12 (December 2002): 1047–52. http://dx.doi.org/10.1016/s1631-073x(02)02596-7.

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Hillairet, Luc. "FORMULE DE TRACE SEMI-CLASSIQUE SUR UNE VARIETE DE DIMENSION 3 AVEC UN POTENTIEL DE DIRAC." Communications in Partial Differential Equations 27, no. 9-10 (January 12, 2002): 1751–91. http://dx.doi.org/10.1081/pde-120016127.

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Zydor, Michał. "LA VARIANTE INFINITÉSIMALE DE LA FORMULE DES TRACES DE JACQUET-RALLIS POUR LES GROUPES LINÉAIRES." Journal of the Institute of Mathematics of Jussieu 17, no. 4 (April 19, 2016): 735–83. http://dx.doi.org/10.1017/s1474748016000141.

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We establish an infinitesimal version of the Jacquet-Rallis trace formula for general linear groups. Our formula is obtained by integrating a kernel truncated à la Arthur multiplied by the absolute value of the determinant to the power $s\in \mathbb{C}$. It has a geometric side which is a sum of distributions $I_{\mathfrak{o}}(s,\cdot )$ indexed by the invariants of the adjoint action of $\text{GL}_{n}(\text{F})$ on $\mathfrak{gl}_{n+1}(\text{F})$ as well as a «spectral side» consisting of the Fourier transforms of the aforementioned distributions. We prove that the distributions $I_{\mathfrak{o}}(s,\cdot )$ are invariant and depend only on the choice of the Haar measure on $\text{GL}_{n}(\mathbb{A})$. For regular semi-simple classes $\mathfrak{o}$, $I_{\mathfrak{o}}(s,\cdot )$ is a relative orbital integral of Jacquet-Rallis. For classes $\mathfrak{o}$ called relatively regular semi-simple, we express $I_{\mathfrak{o}}(s,\cdot )$ in terms of relative orbital integrals regularised by means of zeta functions.
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ROGERS, Carl R. "Et après?" Sociologie et sociétés 9, no. 2 (September 30, 2002): 55–67. http://dx.doi.org/10.7202/001654ar.

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Résumé L'auteur trace un bref aperçu des nouveaux problèmes auxquels a ou aura à faire face un enseignement humain et innovateur, alors qu'il devient de plus en plus une force importante dans le système d'enseignement. Il esquisse quelques-uns des défis auxquels sera confronté l'enseignant en tant que personne, au fur et à mesure que l'enseignement innovateur se développera. Dans le domaine de la recherche, il présente quelques découvertes récentes, toutes trop peu connues et formule aussi l'espoir que la recherche actuelle ne se limite pas à la simple évaluation, mais qu'elle étudie assidûment des rapports de nature "si-alors". Enfin, il spécule sur la prochaine grande frontière de l'apprentissage qui pourrait bien avoir trait à deux des facultés les moins valorisées dans notre culture : soit nos pouvoirs psychiques et intuitifs.
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Garfinkel, Irwin, Robert Haveman, and Lorne Huston. "Les politiques américaines contre la pauvreté : quelques propositions." II. La critique néo-libérale contemporaine et les limites d’intervention étatique, no. 16 (January 12, 2016): 77–93. http://dx.doi.org/10.7202/1034399ar.

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L’article trace l’évolution des politiques de lutte contre la pauvreté depuis 1965. Il décrit ensuite, statistiques à l’appui, les effets des politiques de transferts de revenu sur la pauvreté, l’insécurité et l’inégalité économique, puis sur le travail, l’épargne et la famille. Il établit que les politiques de transferts de revenu ont contribué à réduire la pauvreté et les inégalités mais qu’elles n’ont eu qu’un effet palliatif et provisoire. Elles n’ont pas réussi à augmenter la participation des pauvres au marché du travail. Promouvoir une telle participation exige une intervention sur plusieurs fronts : l’éducation, la qualification professionnelle, les politiques de soutien du revenu, etc. Aucune formule simple ou appliquée de façon isolée ne peut avoir d’impact significatif sur le problème. Les auteurs formulent une série de propositions susceptibles de renforcer la lutte contre la pauvreté.
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Bombara, Giuseppe, and Calin Belta. "Offline and Online Learning of Signal Temporal Logic Formulae Using Decision Trees." ACM Transactions on Cyber-Physical Systems 5, no. 3 (July 2021): 1–23. http://dx.doi.org/10.1145/3433994.

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In this article, we focus on inferring high-level descriptions of a system from its execution traces. Specifically, we consider a classification problem where system behaviors are described using formulae of Signal Temporal Logic (STL). Given a finite set of pairs of system traces and labels, where each label indicates whether the corresponding trace exhibits some system property, we devised a decision-tree-based framework that outputs an STL formula that can distinguish the traces. We also extend this approach to the online learning scenario. In this setting, it is assumed that new signals may arrive over time and the previously inferred formula should be updated to accommodate the new data. The proposed approach presents some advantages over traditional machine learning classifiers. In particular, the produced formulae are interpretable and can be used in other phases of the system’s operation, such as monitoring and control. We present two case studies to illustrate the effectiveness of the proposed algorithms: (1) a fault detection problem in an automotive system and (2) an anomaly detection problem in a maritime environment.
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Zydor, Michał. "Les formules des traces relatives de Jacquet–Rallis grossières." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 762 (May 1, 2020): 195–259. http://dx.doi.org/10.1515/crelle-2018-0027.

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AbstractOn établit les formules des traces relatives de Jacques–Rallis grossières pour les groupes linéaires et unitaires. Les deux formules sont sous la forme suivante: une somme des distributions spectrales est égale à une somme des distributions géométriques. Pour établir les développements spectraux on introduit de nouveaux opérateurs de troncature et on étudie leur propriétés. Du côté géométrique, en utilisant les applications de Cayley, les développements s’obtiennent par un argument de descente vers les espaces tangents pour lesquels les formules sont connues grâce à nos travaux précédents.We establish the coarse relative trace formulae of Jacquet–Rallis for linear and unitary groups. Both formulae are of the form: a sum of spectral distributions equals a sum of geometric distributions. In order to obtain the spectral decompositions we introduce new truncation operators and we investigate their properties. On the geometric side, by means of the Cayley transform, the decompositions are derived from a procedure of descent to the tangent spaces for which the formulae are known thanks to our previous work.
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Akiyama, Shigeki, and Yoshio Tanigawa. "The Selberg trace formula for modular correspondences." Nagoya Mathematical Journal 117 (March 1990): 93–123. http://dx.doi.org/10.1017/s0027763000001823.

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In Selberg [11], he introduced the trace formula and applied it to computations of traces of Hecke operators acting on the space of cusp forms of weight greater than or equal to two. But for the case of weight one, the similar method is not effective. It only gives us a certain expression of the dimension of the space of cusp forms by the residue of the Selberg type zeta function. Here the Selberg type zeta function appears in the contribution from the hyperbolic conjugacy classes when we write the trace formula with a certain kernel function ([3J, [4], [7], [8], [9], [12]).
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Paris, Luis, and Loïc Rabenda. "Virtual and arrow Temperley–Lieb algebras, Markov traces, and virtual link invariants." Journal of Knot Theory and Its Ramifications 30, no. 06 (May 2021): 2150041. http://dx.doi.org/10.1142/s0218216521500413.

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Let [Formula: see text] be the algebra of Laurent polynomials in the variable [Formula: see text] and let [Formula: see text] be the algebra of Laurent polynomials in the variable [Formula: see text] and standard polynomials in the variables [Formula: see text] For [Formula: see text] we denote by [Formula: see text] the virtual braid group on [Formula: see text] strands. We define two towers of algebras [Formula: see text] and [Formula: see text] in terms of diagrams. For each [Formula: see text] we determine presentations for both, [Formula: see text] and [Formula: see text]. We determine sequences of homomorphisms [Formula: see text] and [Formula: see text], we determine Markov traces [Formula: see text] and [Formula: see text], and we show that the invariants for virtual links obtained from these Markov traces are the [Formula: see text]-polynomial for the first trace and the arrow polynomial for the second trace. We show that, for each [Formula: see text] the standard Temperley–Lieb algebra [Formula: see text] embeds into both, [Formula: see text] and [Formula: see text], and that the restrictions to [Formula: see text] of the two Markov traces coincide.
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Delgado, Julio, and Michael Ruzhansky. "The bounded approximation property of variable Lebesgue spaces and nuclearity." MATHEMATICA SCANDINAVICA 122, no. 2 (April 8, 2018): 299. http://dx.doi.org/10.7146/math.scand.a-102962.

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In this paper we prove the bounded approximation property for variable exponent Lebesgue spaces, study the concept of nuclearity on such spaces and apply it to trace formulae such as the Grothendieck-Lidskii formula. We apply the obtained results to derive criteria for nuclearity and trace formulae for periodic operators on $\mathbb{R}^n$ in terms of global symbols.
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Dissertations / Theses on the topic "Formule de trace"

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Li, Huajie. "Contributions to the relative trace formula of Guo-Jacquet." Thesis, Université de Paris (2019-....), 2020. http://www.theses.fr/2020UNIP7080.

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On établit des formules des traces globale et locale pour les espaces symétriques infinitésimaux de Jacquet-Guo. On prouve également quelques résultats locaux concernant la comparaison de termes semi-simples réguliers qui sont des intégrales orbitales pondérées non invariantes. Cette thèse contient cinq chapitres. Dans le chapitre 1, on rappelle les motivations et énonce nos principaux résultats. Notre travail s'inspire d'une conjecture de Jacquet-Guo, qui est un exemple dans le programme de Langlands relatif, et des problèmes analytiques apparaissant dans l'approche par la formule des traces relative. Dans le chapitre 2, on établit une variante infinitésimale de la formule des traces de Jacquet-Guo pour le cas de (GL (2n, D), GL (n, D) ⨉GL (n, D)). Elle est une sorte de formule sommatoire de Poisson obtenue par un analogue de la troncature d'Arthur. On décrit les termes semi-simples réguliers comme des intégrales orbitales pondérées explicites. Dans le chapitre 3, on établit une formule similaire et a une description similaire des termes semi-simples réguliers pour le cas d'une algèbre centrale simple contenant une extension quadratique. De plus, on énonce et prouve le lemme fondamental pondéré grâce aux travaux de Labesse sur le changement de base pour GL(n). Dans le chapitre 4, on établit une formule des traces locale invariante infinitésimale de Jacquet-Guo sur un corps p-adique en suivant les travaux de Waldspurger et Arthur. Au cours de la démonstration, on obtient également une formule des traces locale non invariante infinitésimale, la finitude de Howe pour les intégrales orbitales pondérées et la représentabilité de la transformée de Fourier des intégrales orbitales pondérées. Dans le chapitre 5, avec les résultats des chapitres précédents, on adopte la stratégie de Waldspurger sur le transfert endoscopique pour prouver certaines relations entre transformées de Fourier des intégrales orbitales pondérées locales invariantes
We establish global and local trace formulae for infinitesimal symmetric spaces of Guo-Jacquet. We also prove several local results concerning the comparison of regular semi-simple terms which are noninvariant weighted orbital integrals. This thesis contains five chapters. In Chapter 1, we recall the motivations and state our main reults. Our work is inspired by a conjecture of Guo-Jacquet, which is an example in the relative Langlands programme, and analytic problems appearing in the relative trace formula approach. In Chapter 2, we establish an infinitesimal variant of Guo-Jacquet trace formula for the case of (GL (2n, D), GL (n, D) ⨉GL (n, D)). It is a kind of Poisson summation formula obtained by an analogue of Arthur’s truncation. We describe regular semi-simple terms as explicit weighted orbital integrals. In Chapter 3, we estabilish a similar formula and have a similar description of regular semi-simple terms for the case of a central simple algebra containing a quadratic extension. Moreover, we state and prove the weighted fundamental lemma thanks to Labesse’s work on the base change for GL(n). In Chapter 4, we establish an infinitesimal invariant local trace formula of Guo-Jacquet over a p-adic field by following works of Waldspurger and Arthur. During the proof, we also obtain an infinitesimal noninvariant local trace formula, Howe’s finiteness for weighted orbital integrals and the representability of the Fourier transform of weighted orbital integrals. In Chapter 5, with the results in previous chapters, we adopt Waldspurger’s strategy on the endoscopic transfer to prove some relations between Fourier transforms of invariant local weighted orbital integrals
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Hillairet, Luc. "Contribution d'orbites périodiques diffractives à la formule de trace." Université Joseph Fourier (Grenoble), 2002. https://tel.archives-ouvertes.fr/tel-00001664.

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La formule de trace est un outil privilégié pour l'étude du problème spectral inverse puisqu'elle établit, sur une variété riemannienne compacte, une relation entre le spectre du laplacien et les longueurs des géodésiques périodiques. Cette thèse étend ce type de formule dans deux situations présentant des singularités ponctuelles. Dans ces deux cas, on commence par étudier l'équation des ondes et par établir la propagation des singularités associée. Sur une variété M de dimension 3, on place un potentiel Dirac en un point p. Cela revient à considérer une extension autoadjointe du laplacien, défini sur C[puissance infini](M\{p}), différente du laplacien riemannien de M. Le propagateur de l'équation des ondes associée est construit en faisant apparaître des diffractions successives au point p, ce qui donne alors la propagation des singularités. La formule de trace en découle ; on montre notamment que les courbes obtenues en suivant successivement un ou plusieurs lacets géodésiques joignant p à p donnent une contribution dont on calcule la partie principale. Sur une surface euclidienne à singularités coniques, il faut commencer par étendre la notion de géodésique en admettant le passage par les points coniques. Au voisinage d'une géodésique g, la géométrie locale de l'ensemble des géodésiques (éventuellement) diffractives dépend d'un nombre (appelé complexité classique) que l'on relie à la suite des angles de diffractions le long de g. On montre alors que la propagation des singularités se fait en suivant ces géodésiques généralisées. La trace fait alors apparaître la contribution de géodésiques périodiques diffractives dont on calcule la partie principale sous certaines hypothèses.
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Liu, Bingxiao. "Laplacien hypoelliptique et formule des traces tordue." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS165/document.

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Dans cette thèse, on donne une formule géométrique explicite pour les intégrales orbitales semisimples tordues du noyau de la chaleur sur un espace symétrique, en utilisant la méthode du laplacien hypoelliptique développée par Bismut. On montre que nos résultats sont compatibles avec les résultats classiques de la théorie de l'indice équivariant local sur les espaces localement symétriques compacts. On utilise notre formule explicite pour évaluer le terme dominant dans l'asymptotique quand d -> + ∞ de la torsion analytique équivariante de Ray-Singer associée à une famille de fibrés vectoriels plats Fd sur un espace localement symétrique compact. On montre que le terme dominant peut être calculé à l'aide de W-invariants au sens de Bismut-Ma-Zhang
In this thesis, we give an explicit geometric formula for the twisted semisimple orbital integrals associated with the heat kernel on symmetric spaces. For that purpose, we use the method of the hypoelliptic Laplacian developed by Bismut. We show that our results are compatible with classical results in local equivariant index theory. We also use this formula to evaluate the leading term of the asymptotics as d -> + ∞ of the equivariant Ray-Singer analytic torsion associated with a sequence of flat vector bundles Fd on a compact locally symmetric space. We show that the leading term can be evaluated in terms of the W-invariants constructed by Bismut-Ma-Zhang
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Ferrari, Axel [Christophe]. "Théorème de l'indice et formule des traces." Aix-Marseille 2, 2007. http://theses.univ-amu.fr.lama.univ-amu.fr/2007AIX22047.pdf.

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Après avoir rappelé la définition des opérateurs de Dirac et des fonctions indice on décrit le problème étudié : donner une formule géométrique aussi explicite que possible pour l’indice L2 d’un opérateur de Dirac sur un espace localement symétrique de volume fini. On montre tout d’abord que l’indice L2 s’exprime naturellement au moyen de la formule des traces invariante d’Arthur appliquée à une fonction indice, puis, après avoir rappelé la solution donnée par Arthur dans le cas des caractéristiques d’Euler-Poincaré, on examine l’expression géométrique obtenue et le problème restant à résoudre dans le cas général. La troisième partie est consacrée à des résultats récents sur l’endoscopie et le lemme fondamental, puis on introduit l’hyper-endoscopie qui fournit une inversion de la stabilisation de la formule des traces ; c’est la clef de nos résultats. La quatrième partie est dédiée au calcul explicite du transfert endoscopique local pour les fonctions indice. La dernière partie est consacrée au résultat principal
Our purpose is to obtain a geometric formula as explicit as possible for the L2 index of a Dirac operator over a locally symmetric pace of finite volume, generalizing Arthur’s formula for the Euler-Poincaré caracteristic
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Kret, Arno. "Stratification de Newton des variétés de Shimura et formule des traces d’Arthur-Selberg." Thesis, Paris 11, 2012. http://www.theses.fr/2012PA112365/document.

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Nous étudions la stratification de Newton des variétés de Shimura de type PEL aux places de bonne réduction. Nous considérons la strate basique de certaines variétés de Shimura simples de type PEL modulo une place de bonne réduction. Sous des hypothèses simplificatrices nous prouvons une relation entre la cohomologie l-adique de ce strate basique et la cohomologie de la variété de Shimura complexe. En particulier, nous obtenons des formules explicites pour le nombre de points dans la strate basique sur des corps finis, en termes de représentations automorphes. Nous obtenons les résultats à l'aide de la formule des traces et de la troncature de la formule de Kottwitz pour le nombre de points sur une variété de Shimura sur un corps fini. Nous montrons, en utilisant la formule des traces, que n'importe quelle strate de Newton d'une variété de Shimura de type PEL de type (A) est non vide en une place de bonne réduction. Ce résultat a déjà été établi par Viehmann-Wedhorn; nous donnons une nouvelle preuve de ce théorème. Considérons la strate basique des variétés de Shimura associées à certains groupes unitaires dans les cas où cette strate est une variété finie. Alors, nous démontrons un résultat d' équidistribution pour les opérateurs de Hecke agissant sur cette strate. Nous relions le taux de convergence avec celui de la conjecture de Ramanujan. Dans nos formules ne figurent que des représentations automorphes cuspidales sur Gl_n pour lesquelles cette conjecture est connue, et nous obtenons donc des estimations très bonnes sur la vitesse de convergence. En collaboration avec Erez Lapid nous calculons le module de Jacquet d'une représentation en échelle pour tout sous-groupe parabolique standard du groupe général linéaire sur un corps local non-archimédien
We study the Newton stratification of Shimura varieties of PEL type, at the places of good reduction. We consider the basic stratum of certain simple Shimura varieties of PEL type at a place of good reduction. Under simplifying hypotheses we prove a relation between the l-adic cohomology of this basic stratum and the cohomology of the complex Shimura variety. In particular we obtain explicit formulas for the number of points in the basic stratum over finite fields, in terms of automorphic representations. We obtain our results using the trace formula and truncation of the formula of Kottwitz for the number of points on a Shimura variety over a finite field. We prove, using the trace formula that any Newton stratum of a Shimura variety of PEL-type of type (A) is non-empty at a prime of good reduction. This result is already established by Viehmann-Wedhorn; we give a new proof of this theorem. We consider the basic stratum of Shimura varieties associated to certain unitary groups in cases where this stratum is a finite variety. Then, we prove an equidistribution result for Hecke operators acting on the basic stratum. We relate the rate of convergence to the bounds from the Ramanujan conjecture of certain particular cuspidal automorphic representations on Gl_n. The Ramanujan conjecture turns out to be known for these automorphic representations, and therefore we obtain very sharp estimates on the rate of convergence. We prove that any connected reductive group G over a non-Archimedean local field has a cuspidal representation. Together with Erez Lapid we compute the Jacquet module of a Ladder representation at any standard parabolic subgroup of the general linear group over a non-Archimedean local field
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Bouthier, Alexis. "Géométrisation du côté orbital de la formule des traces." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112064.

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Ce travail de thèse a pour but de construire et d’étudier une fibration de Hitchin pour les groupes qui apparaît naturellement lorsque l’on essaie de géométriser la formule des traces. On commence par construire une telle fibration en utilisant le semi-groupe de Vinberg. Sur ce semi-groupe de Vinberg, on montre qu’il existe un certain morphisme « polynôme caractéristique » muni d’une section naturelle, de même que dans le cas des algèbres de Lie. On montre également que l’on peut construire un centralisateur régulier au-dessus de cette base des polynômes caractéristiques qui est un schéma en groupes commutatif et lisse.On s’intéresse alors à des variantes pour les groupes des fibres de Springer affines pour lesquelles on remarque que l’introduction du semi-groupe de Vinberg permet d’obtenir une condition d’intégralité analogue à celle de Kazhdan-Lusztig. Ces fibres de Springer affines sont des analogues locaux des fibres de Hitchin. On obtient alors une formule de dimension pour ces fibres.Dans un troisième temps, on s’intéresse à l’aspect global de cette fibration pour laquelle on donne une interprétation modulaire et sur laquelle on construit l’action d’un champ de Picard, issu du centralisateur régulier. L’espace total de cette fibration étant en général singulier, nous étudions son complexe d’intersection. Cet espace de Hitchin s’obtient naturellement comme l’intersection du champ de Hecke avec la diagonale du champ des G-torseurs et on démontre que sur un ouvert suffisamment gros de la base de Hitchin, le complexe d’intersection de l’espace de Hitchin s’obtient par restriction de celui du champ de Hecke corrrespondant.Enfin, dans la dernière partie de cette thèse, on établit un théorème du support dans le cas où l’espace total est singulier analogue à celui de Ngô et l’on démontre que, dans le cas de la fibration de Hitchin, les supports qui interviennent sont reliés aux strates endoscopiques
This main goal of this work is to construct and study the properties of Hitchin fibration for groups which appears naturally when we try to geometrize the trace formula. We begin by constructing this fibration using the Vinberg’s semigroup. On this semigroup, we show that there exists a characteristic polynomial morphism equipped with a natural section, analog at the Kostant’s one in the case of Lie algebras. We also show that there exists on the base of characteristic polynomials a regular centralizer scheme, which is a smooth commutative group scheme.Then, we are interested in some variant of affine Springer fibers, for which we see that the Vinberg’s semigroup appears naturally to obtain an integrality condition analog to Kazhdan-Lusztig’s one. These affine Springer fibers are local incarnation of Hitchin fibers.In a third time, we go back to the global case and give a modular interpretation of this new Hitchin fibration on which we construct an action of a Picard stack, coming from the regular centralizer.The total space of this fibration, even on the generically regular semisimple locus will be singular and we want to understand his intersection complex. This space can be obtained as the intersection of the Hecke stack with the diagonal of the stack of G-bundles and we show that on a sufficiently big open subset of the Hitchin base, the intersection complex of the Hitchin’s space is the restriction of the corresponding intersection complex on the Hecke stack.Finally, in the last part of this work, we establish a support theorem in the case of a singular total space, generalizing Ngo’s theorem et we show that in the case of Hitchin fibration, the supports that appear are related to the endoscopic strata
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Cachia, Vincent. "La formule de Trotter-Kato : approximation des semi-groupes en normes d'opérateur et de trace." Phd thesis, Université de la Méditerranée - Aix-Marseille II, 2001. http://tel.archives-ouvertes.fr/tel-00341769.

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La convergence de la formule de Trotter en norme d'opérateur a été établie depuis 1990 avec différentes conditions pour des générateurs auto-adjoints dans un espace de Hilbert. Cette thèse étudie au contraire des semi-groupes holomorphes dont les générateurs ne sont pas auto-adjoints. Dans le premier ensemble de résultats, il s'agit d'estimations d'erreur en norme d'opérateur pour la formule de Trotter : je considère des perturbations accrétives dans un espace de Banach général, puis dans un espace de Hilbert. Dans la deuxième partie, j'étends certains résultats de convergence de la formule de Trotter au cas de générateurs m-sectoriels et pour la norme d'opérateur ou la norme de la trace. Enfin la dernière partie consiste en une généralisation de la théorie de Chernoff au cas de l'approximation des semi-groupes holomorphes en norme d'opérateur. Cette partie est fondée en particulier sur la notion nouvelle de contraction quasi-sectorielle, le résultat principal montre le lien entre la convergence généralisée (ou convergence au sens de la norme de la résolvante) des générateurs m-sectoriels et l'approximation en norme d'opérateur des semi-groupes holomorphes contractants par des puissances de contractions quasi-sectorielles.
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Dubertrand, Rémy. "Deux applications du chaos quantique : étude des fonctions d'ondes aléatoires via SLE et description de cavités diélectriques." Paris 11, 2008. http://www.theses.fr/2008PA112354.

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Au cours de cette thèse, nous avons étudié deux problèmes spécifiques de chaos quantique. D'abord, nous avons confirmé le modèle de percolation critique pour décrire statistiquement les lignes nodales des fonctions d'onde de systèmes classiquement chaotiques. Dans ce but, les lignes ont été décrites à l'aide d'un processus de Schramm-Loewner et notre étude numérique concorde avec le récent théorème liant ce processus et la percolation au seuil critique. Dans une seconde partie nous avons généralisé les résultats connus en chaos quantique sur les billards fermés aux cavités diélectriques ouvertes. Nous avons donné des formules générales pour une légère pertubation d'une cavité circulaire et proposé une généralisation de formule de trace pour ces systèmes. En particulier nous donnons les premiers termes de la série de Weyl pour compter le nombre de résonances d'une cavité diélectrique. Ces résultats sont en accord avec les mesures expérimentales et nos calculs numériques. Ces deux études montrent le caractère fondamental et transversal des techniques du chaos quantique pour les problèmes actuels
During my thesis we studied two specific problems in quantum chaos. First we confirmed the percolation mod describing the nodal lines of wavefunction of classically chaotic systems. These lines were described via a certain Schrammm Loewner Evolution process and our study agrees with the recent theorem stating that it is linked with the critical percolation. Secondly we generalized results in quantum chaos weil known for closed billiards to open dielectric cavities. We gave general formulas for a slight pertubation of a circular cavity and proposed a generalized trace formula for these systems. We especially gave the first terms of a Weyl expansion in order to count the resonances of a dielectric cavity. These results agree weil with experimental data and numerical simulations. Both these studies show how fundamental and transverse techniques of quantum chaos are for topical problems
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Hachami, Saïd. "Périodes hermitiennes des courbes et application à une formule de chowla-selberg." Nancy 1, 1988. http://www.theses.fr/1988NAN10142.

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La nouvelle démonstration de la formule de chowla-selberg dans le cas P = 7 consiste à exhiber une application méromorphe entre la courbe de fermat X**(7) + Y**(7) + Z**(7) = 0 de P::(2)(C) et une courbe elliptique. Un calcul direct que D. Barlet a effectué précédemment en liaison avec le calcul de la forme hermitienne cannonique des singularités isolées des surfaces de fermat X**(A) + Y**(B) + Z**(C) dans C**(3) montraient qu'une période hermitienne convenable sur la courbe X**(7) + Y**(7) + Z**(7) coincidait avec le membre de droite de la formule de chowla-selberg pour P = 7 (à des constantes triviales près). La construction élaborée permet de relier directement cette période hermitienne à l'aide du parallélogramme d'une courbe elliptique
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Giraud, Olivier. "Statistiques spectrales des systèmes diffractifs." Paris 11, 2002. http://www.theses.fr/2002PA112081.

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"Nous nous intéressons aux aspects analytiques de l'étude des statistiques spectrales des systèmes quantiques diffractifs. Les systèmes dynamiques peuvent présenter classiquement un comportement intégrable, chaotique ou intermédiaire, et il semble exister une correspondance entre ce comportement classique et les propriétés quantiques du système. Ce travail porte sur l'étude des fonctions de corrélation spectrale de systèmes intégrables perturbés par une singularité: centre diffracteur ponctuel (potentiel delta), angle singulier dans un billard, et ligne de flux Aharonov-Bohm. Il est possible, en utilisant leurs propriétés mathématiques spécifiques, d'obtenir analytiquement l'expression du facteur de forme à l'origine pour divers systèmes particuliers: billard rectangulaire ou billard circulaire traversé par un flux Aharonov- Bohm, billards triangulaires ayant la "propriété de Veech", billards avec barrière. Les résultats analytiques, conformes aux résultats numériques, semblent accréditer l'hypothèse de l'existence de traits statistiques communs aux systèmes intermédiaires. Afin d'obtenir l'expression complète du facteur de forme, il convient d'inclure la contribution des orbites diffractives. Dans le cas d'un billard rectangulaire muni d'un centre diffracteur ponctuel, on utilise une méthode semi-classique qui permet de ressommer toutes les contributions des interactions entre orbites périodiques et orbites diffractives, et ainsi de calculer analytiquement le facteur de forme à tout ordre. La distribution des écarts entre niveaux d'énergie pour ce même système est calculée analytiquement, et son comportement asymptotique démontre que ce système présente des traits communs aux systèmes intégrables et aux systèmes chaotiques, vérifiant ainsi la conjecture portant sur les systèmes intermédiaires. "
We are interested in the analytical aspects of the spectral statistics of quantum diffractive systems. Dynamical systems have a classical behaviour which ranges from integrable to chaotic or intermediate, and there seems to be a correspondance between this classical behaviour and the quantum properties of the system. This work is a study of the spectral correlation functions of integrable systems perturbed by a singularity: infinitely small scattering center (delta-like potential), singular corner in a billiard, Aharonov-Bohm flux line. It was possible to obtain analytically the expression of the form factor at the origin for some specific systems: rectangular or circular billiard with Aharonov-Bohm flux line, triangular billiards with "Veech property", barrier billiards. The analytical results agree with numerics and support the existence of a statistical behaviour common to all intermediate systems. In order to obtain the whole expansion of the form factor the contribution of diffractive orbits must be taken into account. We use a semiclassical method which allows to resume all contributions of interactions between periodic and diffractive orbits, and obtain the analytical expansion of the form factor for a rectangular billiard with a scattering center. The distribution of the distance between nearest-neighbours is computed analytically for the same system; its asymptotic behaviour demonstrates that such a system shares features with both integrable and chaotic systems, thus verifying the conjecture for intermediate systems
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Books on the topic "Formule de trace"

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1953-, Waldspurger Jean-Loup, ed. La formule des traces tordue d'après le Friday Morning Seminar. Providence, Rhode Island, USA: American Mathematical Society, 2013.

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Lerner, Igor V., Jonathan P. Keating, and David E. Khmelnitskii, eds. Supersymmetry and Trace Formulae. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-4875-1.

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Arthur, James. A local trace formula. Toronto: Dept. of Mathematics, University of Toronto, 1989.

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Levy, Jason. A modified trace formula. Toronto: University of Toronto, 1993.

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Shokranian, Salahoddin. The Selberg-Arthur Trace Formula. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0092305.

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Krishna, Rahul Marathe. Relative Trace Formula for SO₂ × SO₃ and the Waldspurger Formula. [New York, N.Y.?]: [publisher not identified], 2016.

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Müller, Werner, Sug Woo Shin, and Nicolas Templier, eds. Geometric Aspects of the Trace Formula. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94833-1.

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Moeglin, Colette, and Jean-Loup Waldspurger. Stabilisation de la formule des traces tordue. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30049-8.

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Moeglin, Colette, and Jean-Loup Waldspurger. Stabilisation de la formule des traces tordue. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30058-0.

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Hejhal, Dennis A., Peter Sarnak, and Audrey Anne Terras, eds. The Selberg Trace Formula and Related Topics. Providence, Rhode Island: American Mathematical Society, 1986. http://dx.doi.org/10.1090/conm/053.

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Book chapters on the topic "Formule de trace"

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Wang, Xueli, and Dingyi Pei. "Trace Formula." In Modular Forms with Integral and Half-Integral Weights, 321–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29302-3_9.

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Paul, T., and A. Uribe. "Local Trace Formulæ." In Quasiclassical Methods, 139–44. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-1940-8_7.

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Bergeron, Nicolas. "The Trace Formula." In Universitext, 153–92. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27666-3_5.

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Hurt, Norman E. "Selberg Trace Formula." In Mathematical Physics of Quantum Wires and Devices, 175–202. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9626-8_8.

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Iwaniec, Henryk. "The trace formula." In Spectral Methods of Automorphic Forms, 135–56. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/gsm/053/12.

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Shokranian, Salahoddin. "Selberg's trace formula." In Lecture Notes in Mathematics, 11–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0092307.

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Knightly, Andrew, and Charles Li. "The trace formula." In Traces of Hecke Operators, 227–77. Providence, Rhode Island: American Mathematical Society, 2006. http://dx.doi.org/10.1090/surv/133/04.

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Gutzwiller, Martin C. "The Trace Formula." In Chaos in Classical and Quantum Mechanics, 282–321. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4612-0983-6_18.

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Getz, Jayce R., and Heekyoung Hahn. "Simple Trace Formulae." In An Introduction to Automorphic Representations, 473–506. Cham: Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-41153-3_18.

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Kurasov, Pavel. "The Trace Formula." In Operator Theory: Advances and Applications, 179–208. Berlin, Heidelberg: Springer Berlin Heidelberg, 2023. http://dx.doi.org/10.1007/978-3-662-67872-5_8.

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AbstractThis chapter is devoted to the trace formula connecting the spectrum of a finite compact metric graph with the set of closed paths on it. In other words this formula establishes a relation between spectral and geometric/topologic properties of metric graphs.
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Conference papers on the topic "Formule de trace"

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Jeanneret, Yves. "Faire avec le faire communicationnel." In Arts du faire : production et expertise. Limoges: Université de Limoges, 2009. http://dx.doi.org/10.25965/as.3336.

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En dépit de la formule "pragmatique", qui tend à replier le signifier sur le faire, la question de la pratique signifiante est extrêmement complexe. L’étude s'emploie à décrire la façon dont cette question est mobilisée, en sciences de la communication, à propos des pratiques médiatiques courantes. L’invocation des pratiques suscite dans cette discipline une stigmatisation de la sémiotique, dont on pourra comprendre qu'elle marque des questions pertinentes, tout en remuant l’illusion d'une communication presque sans le sens (CPSS). Ce qui conduira à discuter la fausse évidence de la notion de "trace", centrale dans cette querelle, à partir des acquis de la recherche sur l’écriture. C'est sur le terrain de l'écriture, modifiée par la métamorphose contemporaine des médias, que pourront être discutés quelques-uns des efforts actuels pour intégrer une problématique des pratiques dans la description des dispositifs et des textes, à partir des notions de prétention (intervention dans le processus de communication), préfiguration (écriture anticipée des pratiques) et prédilection (mobilisation d’une histoire des formes).
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Lapid, Erez M. "Some Applications of the Trace Formula and the Relative Trace Formula." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0095.

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Li, Yong, Andrea Turrini, Moshe Y. Vardi, and Lijun Zhang. "Synthesizing Good-Enough Strategies for LTLf Specifications." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. California: International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/570.

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We consider the problem of synthesizing good-enough (GE)-strategies for linear temporal logic (LTL) over finite traces or LTLf for short. The problem of synthesizing GE-strategies for an LTL formula φ over infinite traces reduces to the problem of synthesizing winning strategies for the formula (∃Oφ)⇒φ where O is the set of propositions controlled by the system. We first prove that this reduction does not work for LTLf formulas. Then we show how to synthesize GE-strategies for LTLf formulas via the Good-Enough (GE)-synthesis of LTL formulas. Unfortunately, this requires to construct deterministic parity automata on infinite words, which is computationally expensive. We then show how to synthesize GE-strategies for LTLf formulas by a reduction to solving games played on deterministic Büchi automata, based on an easier construction of deterministic automata on finite words. We show empirically that our specialized synthesis algorithm for GE-strategies outperforms the algorithms going through GE-synthesis of LTL formulas by orders of magnitude.
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Gül, Erdal. "On a regularized trace formula." In 10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0114867.

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Musliner, David J., Timothy Woods, and John Maraist. "Identifying Culprits When Probabilistic Verification Fails." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-71051.

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Automatic design verification techniques are intended to check that a particular system design meets a set of formal requirements. When the system does not meet the requirements, some verification tools can perform culprit identification to indicate which design components contributed to the failure. With non-probabilistic verification, culprit identification is straightforward: the verifier returns a counterexample trace that shows how the system can evolve to violate the desired property, and any component involved in that trace is a potential culprit. For probabilistic verification, the problem is more complicated, because no single trace constitutes a counterexample. Given a set of execution traces that collectively refute a probabilistic property, how should we interpret those traces to find which design components are primarily responsible? This paper discusses an approach to this problem based on decision-tree learning. Our solution provides rapid, scalable, and accurate diagnosis of culprits from execution traces. It rejects distractions and accurately focuses attention on the components that primarily cause a property verification to fail.
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Shokranian, Salahoddin. "Twisted Trace Formula for Hecke Correspondences." In Fourth International Winter Conference on Mathematical Methods in Physics. Trieste, Italy: Sissa Medialab, 2004. http://dx.doi.org/10.22323/1.013.0023.

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Hasan, Nazmul. "Spiral Length Design." In 2010 Joint Rail Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/jrc2010-36050.

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Most of the current formulae for spiral length use either unbalance, Eu or actual super-elevation, Ea to calculate spiral length, L as applied to light rail, commuter rail, and rapid transit. In reality, a train suffers both Eu and Ea run-off simultaneously. Super-elevation unbalance run-off produces the effect of radial acceleration and actual super-elevation run-off produces the effect of rotation. As a result due to this spiral length design should be based on both Ea and Eu. The current formulae underestimate spiral length which affects comfortable jerk rate, roll criteria, and twist rate. These formulae do not shed any light on how to proportion actual and unbalance superelevation to realize desired results. Consequently from these formulae, desirable values of Ea and Eu cannot be calculated, so it is necessary to re-evaluate the current formulae. It is mathematically established that combined effects of Ea and Eu run-off set a limit of 45mm/sec. A new formula for spiral length comes out to be: L = 0.006(Ea+Eu)V. But this formula does not reflect the effect of proportion of Ea and Eu. This gives the same length whatever be the proportion of Ea and Eu. To overcome this deficiency a second formula is derived as: L=VEa161−Eu. The article analyzed the effect of proportion of Ea and Eu on spiral length. The formulae developed in the paper satisfy both cant gradient and rotation criteria that are currently used. If these formulae are used, these criteria do not require checking. The analysis reveals the basis of cant gradient that is to be used for spiral length design. As extensions of these new formulae are developed for minimum spiral length, minimum length of circular curve, rate of twist, maximum safe speed etc. For Heavy haul operation issues of over-loading and off-loading on the twisted track is also discussed to review cant gradient for spiral length design.
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Artale, Alessandro, Andrea Mazzullo, and Ana Ozaki. "Do You Need Infinite Time?" In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. California: International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/210.

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Linear temporal logic over finite traces is used as a formalism for temporal specification in automated planning, process modelling and (runtime) verification. In this paper, we investigate first-order temporal logic over finite traces, lifting some known results to a more expressive setting. Satisfiability in the two-variable monodic fragment is shown to be EXPSPACE-complete, as for the infinite trace case, while it decreases to NEXPTIME when we consider finite traces bounded in the number of instants. This leads to new complexity results for temporal description logics over finite traces. We further investigate satisfiability and equivalences of formulas under a model-theoretic perspective, providing a set of semantic conditions that characterise when the distinction between reasoning over finite and infinite traces can be blurred. Finally, we apply these conditions to planning and verification.
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Badanin, Andrey V., and Evgeny L. Korotyaev. "Trace formulas for the beam equation." In 2016 Days on Diffraction (DD). IEEE, 2016. http://dx.doi.org/10.1109/dd.2016.7756808.

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Barlag, Timon, Miika Hannula, Juha Kontinen, Nina Pardal, and Jonni Virtema. "Unified Foundations of Team Semantics via Semirings." In 20th International Conference on Principles of Knowledge Representation and Reasoning {KR-2023}. California: International Joint Conferences on Artificial Intelligence Organization, 2023. http://dx.doi.org/10.24963/kr.2023/8.

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Semiring semantics for first-order logic provides a way to trace how facts represented by a model are used to deduce satisfaction of a formula. Team semantics is a framework for studying logics of dependence and independence in diverse contexts such as databases, quantum mechanics, and statistics by extending first-order logic with atoms that describe dependencies between variables. Combining these two, we propose a unifying approach for analysing the concepts of dependence and independence via a novel semiring team semantics, which subsumes all the previously considered variants for first-order team semantics. In particular, we study the preservation of satisfaction of dependencies and formulae between different semirings. In addition we create links to reasoning tasks such as provenance, counting, and repairs.
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Reports on the topic "Formule de trace"

1

Baader, Franz, and Marcel Lippmann. Runtime Verification Using a Temporal Description Logic Revisited. Technische Universität Dresden, 2014. http://dx.doi.org/10.25368/2022.203.

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Formulae of linear temporal logic (LTL) can be used to specify (wanted or unwanted) properties of a dynamical system. In model checking, the system’s behaviour is described by a transition system, and one needs to check whether all possible traces of this transition system satisfy the formula. In runtime verification, one observes the actual system behaviour, which at any point in time yields a finite prefix of a trace. The task is then to check whether all continuations of this prefix to a trace satisfy (violate) the formula. More precisely, one wants to construct a monitor, i.e., a finite automaton that receives the finite prefix as input and then gives the right answer based on the state currently reached. In this paper, we extend the known approaches to LTL runtime verification in two directions. First, instead of propositional LTL we use the more expressive temporal logic ALC-LTL, which can use axioms of the Description Logic (DL) ALC instead of propositional variables to describe properties of single states of the system. Second, instead of assuming that the observed system behaviour provides us with complete information about the states of the system, we assume that states are described in an incomplete way by ALC-knowledge bases. We show that also in this setting monitors can effectively be constructed. The (double-exponential) size of the constructed monitors is in fact optimal, and not higher than in the propositional case. As an auxiliary result, we show how to construct Büchi automata for ALC-LTL-formulae, which yields alternative proofs for the known upper bounds of deciding satisfiability in ALC-LTL.
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Vodusek, Ziga, and Robert Devlin. Trade Related Capacity Building: An Overview in the Context of Latin American Trade Policy and the MERCOSUR-EU Association Agreement. Inter-American Development Bank, February 2005. http://dx.doi.org/10.18235/0008695.

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Trade has become an increasingly important strategic objective for developing countries. This is a relatively new phenomenon for many of them. Hence the demand to intensify an insertion into the world economy often advances faster than their institutional capacities to formulate effective strategies, trade policies and institutions. This is further complicated by the fact that the insertion is increasingly being undertaken through negotiation of ever more complex trade agreements with important asymmetries between the parties and large repercussions from market opening. Under these circumstances it is not surprising that trade-related capacity building (TRCB) has increasingly gained the attention of developing countries and donors alike. By practicing the art of the possible many advances have been achieved. But many shortcomings are still hindering the delivery of effective TRCB; ironically, some of them being outgrowths of attempts to perfect TRCB.
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Estevadeordal, Antoni, Ekaterina Krivonos, and Robert Devlin. The Trade and Cooperation Nexus: How Does the MERCOSUR-EU Process Measure Up? Inter-American Development Bank, March 2003. http://dx.doi.org/10.18235/0008691.

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The objective of this study is to analyze the interaction between trade and non-trade cooperation in some of the today's major regional initiatives, particularly those between developing and industrialized countries. The study suggests a framework to explore what the paper calls a "trade and cooperation nexus". The modalities of this nexus can take different forms. For instance, non-trade cooperation may be an integral part of a formal trade or integration agreement, or may take place independently of such an agreement, as an ex-ante, ex-post or parallel agreement. This paper analyzes the EU approach, which proposes an unusually tight trade and cooperation nexus based on a three-pillar approach uniting political, economic and trade cooperation under a single umbrella agreement. Theoretically this approach should be attractive, especially in North-South agreements, because the promise of linking free trade with cooperation programs could enhance the benefits of the former for both parties. However, while innovative, the nexus is challenging in its construction and delivery. The paper will explore EU efforts in this area in the broader context of what is happening in other North-South initiatives.
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Roby, Clyde G. Proceedings of the IDA Workshop on Formal Specification and Verification of Ada (Trade Name) (1st) Held in Alexandria, Virginia on 18-20 March 1985. Fort Belvoir, VA: Defense Technical Information Center, December 1985. http://dx.doi.org/10.21236/ada171507.

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Lodge, Junior, and Jan Yves. The Promise of a Recalibrated Caribbean-European Union Partnership. Fundación Carolina, March 2022. http://dx.doi.org/10.33960/issn-e.1885-9119.dtff03en.

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The Caribbean and the European Union (EU) have been enjoined in a formal bi-regional relationship since the signing of the Lomé Convention in 1975, and are firm proponents of multilateralism, strong advocates of regional integration, democracy and rule of law, and reflect vibrant multi-ethnic and multilingual polities. The bi-regional relationship has evolved considerably over the intervening 45 years, and is reflected in formal agreements between the African, Caribbean and Pacific (ACP) States and the EU, and in the sphere of economic cooperation, has been strengthened with the signing of the Cariforum-EU Economic Partnership Agreement (CEPA) in 2008. The EU also remains a significant source of development cooperation for the Caribbean, complemented by a sui generis project management regime that includes multi-annual programming. Beyond this, the bi-regional ties have expanded into new areas of joint multilateral endeavour such as the WTO Trade Facilitation Agreement (TFA) and the Paris Agreement on Climate Change. Despite the long and formal engagement, the Cariforum-EU partnership has not engendered either deep understanding of, or universal support in, each other’s conduct of multilateral negotiations. To the contrary, the partnership displays regular flashes of unease and arguably low-level tension. This paper seeks to assess the Caribbean-EU partnership in terms of its contribution of bi-regional trade and economic cooperation to Caribbean development, and possibilities for a renewed partnership considering new impulses shaping the Cariforum-EU relationship, including the post-Cotonou Agreement, Brexit, EU-LAC Political Dialogue and COVID-19 responses. A Cariforum-EU development agenda to fuel post-pandemic Caribbean recovery is mooted with the additional value of harnessing the promise of the revised partnership.
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Bittmann, Felix. Academic track mismatch and the temporal development of well-being and competences in German secondary education. Verlag der Österreichischen Akademie der Wissenschaften, May 2021. http://dx.doi.org/10.1553/populationyearbook2021.res5.1.

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Formal education is one of the most influential predictors of professional success. As parents in Germany are aware of the importance of education, they often try to enable their children to enrol in the prestigious academic schooling track (Gymnasium). This explains why the transition recommendation made by the teacher after the fourth grade is sometimes ignored if the desired track was not recommended for a particular student. How the mismatch between the teacher’s recommendation and the parents’ choice of schooling for their child affects the child’s development is not sufficiently known. It is very likely that such a mismatch can have consequences for the child’s well-being, competences and overall academic success. Based on five consecutive panel waves of German National Educational Panel Study (NEPS) data (waves 1 to 5, collected between 2010 and 2016) (n = 2;790 in wave 1), our analyses demonstrate that social background and the probability of ignoring a teacher’s recommendation are associated, and that highly educated parents are more likely to overrule the teacher’s recommendation. Panel regression models show that pupils who pursued the academic track (Gymnasium) despite the absence of a teacher’s recommendation were more likely to drop out of the academic schooling track, and were not able to catch up with their peers with respect to both objective and subjective academic competences over the entire observation window. However, the models also show that academic track mismatch did not seem to negatively influence the health and well-being of these pupils.
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Keeney, Roman, and Thomas Hertel. The Indirect Land Use Impacts of U.S. Biofuel Policies: The Importance of Acreage, Yield, and Bilateral Trade Responses. GTAP Working Paper, April 2008. http://dx.doi.org/10.21642/gtap.wp52.

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Recent work has highlighted agricultural land conversion as a significant debit in the greenhouse gas accounting of ethanol as an alternative fuel. This work has at the same time sparked considerable debate on the role of crop yield growth as a means of avoiding rapid land conversion. We examine the agricultural land use impacts of mandate driven ethanol demand increases in the United States in a formal economic equilibrium framework which allows us to examine the importance of yield price relationships. We find that the standard assumption of trend yield growth is likely restrictive for analysis of equilibrium response to significant demand increases for fuel feedstocks. Furthermore, we identify both the acreage response and bilateral trade specification of a multi-country model as important sources of variability (in terms of parametric uncertainty) in predicting global land use change from the biofuels boom.
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Mayfield, William T., John Chludzinski, John McHugh, and Stephen R. Welke. Proceedings of the IDA Workshop on Formal Specification and Verification of Ada (Trade Name) (3rd) Held in Research Triangle Park, North Carolina on 14-16 May 1986. Fort Belvoir, VA: Defense Technical Information Center, August 1986. http://dx.doi.org/10.21236/ada226984.

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Mayfield, W. T., and Stephen R. Welke. Proceedings of the IDA (Institute for Defense Analyses) Workshop on Formal Specification and Verification of Ada (Trade Name) (2nd) Held in Alexandria, Virginia on July 23-25, 1985. Fort Belvoir, VA: Defense Technical Information Center, November 1985. http://dx.doi.org/10.21236/ada172747.

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10

Liu, Jing, Channing Arndt, and Thomas Hertel. Parameter Estimation and Measures of Fit in A Global, General Equilibrium Model. GTAP Working Paper, March 2003. http://dx.doi.org/10.21642/gtap.wp24.

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Abstract:
Computable General Equilibrium (CGE) models have been widely used for quantitative analysis of global economic issues. However, CGE models are frequently criticized for resting on weak empirical foundations. This paper builds on recent work in macro-econometric estimation, developing an approach to parameter estimation for a widely employed global CGE model, the Global Trade Analysis Project (GTAP) model. An approximate likelihood function is developed and the set of optimum elasticity values is obtained by maximizing this approximate likelihood function in the context of a back casting exercise. In addition, two statistical tests are performed. The first of these tests compares the standard GTAP elasticity vector with the estimated trade elasticity vector. It rejects the null hypothesis of equality between the two sets of trade elasticities. The second test examines the widely maintained hypothesis known as the “rule of two”, by which the elasticity of substitution across imports by sources is set equal to twice the elasticity of substitution between domestic goods and imports. We fail to reject this common rule of thumb. We conclude that there is much to be gained by nesting CGE models within an estimation framework as this opens the way for formal evaluation of model performance and parameterization.
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