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Dissertations / Theses on the topic 'Affine'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Chen, Zongbin. "Pureté des fibres de Springer affines pour GL_4." Thesis, Paris 11, 2011. http://www.theses.fr/2011PA112266/document.

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La thèse consiste de deux parties. Dans la première partie, on montre la pureté des fibres de Springer affines pour $\gl_{4}$ dans le cas non-ramifié. Plus précisément, on construit une famille de pavages non standard en espaces affines de la grassmannienne affine, qui induisent des pavages en espaces affines de la fibre de Springer affine. Dans la deuxième partie, on introduit une notion de $\xi$-stabilité sur la grassmannienne affine $\xx$ pour le groupe $\gl_{d}$, et on calcule le polynôme de Poincaré du quotient $\xx^{\xi}/T$ de la partie $\xi$-stable $\xxs$ par le tore maximal $T$ par une

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2

Azam, Saeid. "Extended affine Lie algebras and extended affine Weyl groups." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ27440.pdf.

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3

Li, Yiqiang. "Affine canonical bases /." Search for this dissertation online, 2006. http://wwwlib.umi.com/cr/ksu/main.

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4

Deconchy, Vincent. "Géométrie affine symplectique." Montpellier 2, 1999. http://www.theses.fr/1999MON20076.

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La geometrie affine symplectique consiste en l'etude des invariants des hypersurfaces de l'espace symplectique standard sous l'action du groupe affine symplectique. On peut considerer qu'il s'agit d'une generalisation aux dimensions superieures de la geometrie equiaffine des courbes dans le plan, en notant que dans ce cas le groupe symplectique et le groupe special lineaire coincident. Sachant qu'il existe sur une hypersurface d'un espace symplectique un champ de droites privilegie, on construit un champ transverse adapte (le vecteur normal (affine) symplectique) dont on donne une interpretati

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5

Kohl, Stefan. "Restklassenweise affine Gruppen." [S.l. : s.n.], 2005. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB12168144.

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6

Fring, A. "Affine Toda field theory." Thesis, Imperial College London, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.295149.

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7

Holtom, Paul Andrew. "Affine-invariant symmetry sets." Thesis, University of Liverpool, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.367704.

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8

Moakes, Matthew George. "On quantum affine algebras." Thesis, King's College London (University of London), 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.406170.

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9

Andrei, Octavian. "3D affine coordinate transformations." Thesis, KTH, Geodesi och satellitpositionering, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-199846.

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This thesis investigates the three-dimensional (3D) coordinate transformation from a globalgeocentric coordinate system to a national terrestrial coordinate system. Numerical studies arecarried out using the Swedish geodetic data SWEREF 93 and RT90/RH70. Based on theHelmert transformation model with 7-parameters, two new models have been studied: firstly ageneral 3D affine transformation model has been developed using 9-parameters (threetranslations, three rotations and three scale factors) and secondly the model with 8-parameters(three translations, three rotations and two scale factors) has

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10

Welch, Amanda Renee. "Double Affine Bruhat Order." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/89366.

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Given a finite Weyl group W_fin with root system Phi_fin, one can create the affine Weyl group W_aff by taking the semidirect product of the translation group associated to the coroot lattice for Phi_fin, with W_fin. The double affine Weyl semigroup W can be created by using a similar semidirect product where one replaces W_fin with W_aff and the coroot lattice with the Tits cone of W_aff. We classify cocovers and covers of a given element of W with respect to the Bruhat order, specifically when W is associated to a finite root system that is irreducible and simply laced. We show two approache

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11

Smilga, Ilia. "Pavages de l'espace affine." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112298/document.

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Pour tout entier naturel impair d, on construit un domaine fondamental pour l'action sur l'espace affine de dimension 2d+1 de certains groupes de transformations affines libres non abéliens, discrets, agissant proprement et de partie linéaire Zariski-dense dans SO(d+1, d). Pour tout groupe de Lie semisimple réel non compact G, on construit ensuite un groupe de transformations affines de son algèbre de Lie g qui est libre non abélien, discret, agit proprement sur g et a sa partie linéaire Zariski-dense dans Ad G. Enfin, on donne quelques résultats sur le comportement local des fonctions harmoni

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12

Barucchieri, Bianca. "Affine Hermite-Lorentz manifolds." Thesis, Bordeaux, 2019. http://www.theses.fr/2019BORD0153/document.

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Dans ce travail nous nous intéressons aux groupes cristallographiques, i.e. aux sous-groupes du groupe des transformations affines qui agissent proprement discontinûment et de façon cocompacte sur l’espace affine. Ce sont les groupes fondamentaux des variétés affines compactes et complètes. Nous classifions les groupes cristallographiques dont la partie linéaire préserve une forme hermitienne de signature (n,1). Grunewald et Margulis ont prouvé que ces groupes cristallographiques sont virtuellement résolubles (la conjecture d’Auslander affirme que c’est toujours le cas). Notre classification e

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13

Al, Harbat Sadek. "Groupe de tresses affine, algèbre de Temperley-Lieb affine et trace de Markov." Paris 7, 2013. http://www.theses.fr/2013PA077204.

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Dans cette thèse, on définit une tour d'algèbres de Temperley-Lieb affines de type Ã sur laquelle on définit une trace de Markov et on montre qu'il y a une unique telle trace. Pour y parvenir, on travaille sur quatre niveaux de type Â : groupes de tresses affines, groupes de Coxeter affines, algèbres de Hecke affines et algèbres de Temperley-Lieb affines. Au niveau des tresses, on montre que le groupe de tresses affine de type À à n+1 générateurs se surjecte sur le groupe de tresses affine de type A à n générateurs, on montre que cette surjection provient d'un quotient sur un certain sous grou

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14

Arzhantsev, I. V., D. A. Timashev, and Andreas Cap@esi ac at. "Affine Embeddings of Homogeneous Spaces." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi929.ps.

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15

Kessari, Smaragda. "The Journey to Affine Histories." Thesis, Lancaster University, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.485229.

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Two problems are tackled in this thesis, both involving modern approaches to the 'problem of time' in canonical quantum. gravity. The first task involves applying the recently introduced 'parametric theory' of Charles Wang to the Bianchi IX. cosmological model. The second task involves showing how consistent histories quantum cosmology can be realised in the context of Chris Isham's Histories Projection Operator (HPO) consistent histories scheme. This involves using an 'affine histories' approach in which, in or:der to better reflect the positivity proper- ..... ties of a classical spatial met

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16

Kutyniok, Gitta. "Affine density in wavelet analysis /." Berlin [u.a.] : Springer, 2007. http://www.gbv.de/dms/ilmenau/toc/529512874.PDF.

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17

Curnock, Audrey Geraldine. "Isomorphisms of affine function spaces." Thesis, Goldsmiths College (University of London), 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.412519.

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18

Shapiro, Larry Saul. "Affine analysis of image sequences." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358752.

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19

Low, David J. "Affine symmetry in general relativity." Thesis, University of Aberdeen, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386299.

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Affine vector fields in 4-dimensional Lorentz manifolds have recently been investigated in some detail by Hall and da Costa. The picture is completed in this thesis by studying the zeros of affine vector fields. Hall and da Costa show that the problem of finding affine vector fields in non-degenerately reducible 4-dimensional Lorentz manifolds can be reduced, with one exceptional case, to the problem of finding homothetic vector fields in lower dimensional manifolds. This means that the study of affine vector fields with zeros in 4-dimensional Lorentz manifolds is aided by investigating proper

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20

HUAMANI, EDISON FAUSTO CUBA. "AFFINE MINIMAL SURFACES WITH SINGULARITIES." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2017. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=32452@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE EXCELENCIA ACADEMICA<br>Neste trabalho, estudamos superfícies com curvatura média afim zero. Elas são chamadas de superfícies mínimas afins e para superfícies convexas, também são chamadas de superfícies máximas afins. Provamos que uma superfície mínima euclidiana também é uma superfície mínima afim se, e somente se, as linhas de curvatura da superfície mínima euclidiana conjugada são planas. Para uma superfície máxima afim, descrevemos como recuperá-la do campo de

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21

Mitankin, Vladimir. "Integral points on affine surfaces." Thesis, University of Bristol, 2017. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.730897.

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22

Papathanasiou, Dimitrios. "Hypercyclic Algebras and Affine Dynamics." Bowling Green State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1490913276727982.

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23

Wiehe, Martin. "Deformations in affine hypersurface theory /." Aachen : Shaker, 1999. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=008461776&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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24

Benine-Neto, André. "Trajectory control in curves, towards the perceptive-ESC : through a piecewise affine approach." Thesis, Evry-Val d'Essonne, 2011. http://www.theses.fr/2011EVRY0021/document.

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Les avancées dans les technologies ont permis le développement de systèmes d’aide à la conduite (ADAS) pour prévenir les accidents routiers causés par les erreurs de conduite au manque d’attention de conducteurs. Plusieurs types sont déjà disponibles sur le marché, comme l’ABS et l’ESC (ou ESP), utilisant uniquement des capteurs proprioceptifs. Les capteurs extéroceptifs sont présents dans les ADAS plus récents, comme LKAS (maintien dans la voie) et LDWS. Cependant, l‘ESC agit dans la dynamique du véhicule en situations d¹urgence alors que les systèmes d’alerte de sortie de voie sont conçus po

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25

Miao, Jun Jie. "The geometry of self-affine fractals." Thesis, St Andrews, 2008. http://hdl.handle.net/10023/838.

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26

Vichiansin, Bovorn. "Essays on affine term structure models /." Thesis, Connect to this title online; UW restricted, 2006. http://hdl.handle.net/1773/7448.

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27

Popov, Vladimir L., and popov@ppc msk ru. "On Polynomial Automorphisms of Affine Spaces." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi938.ps.

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28

Duffie, D., D. Filipovic, and Walter Schachermayer. "Affine processes and applications in finance." SFB Adaptive Information Systems and Modelling in Economics and Management Science, WU Vienna University of Economics and Business, 2001. http://epub.wu.ac.at/798/1/document.pdf.

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We provide the definition and a complete characterization of regular affine processes. This type of process unifies the concepts of continuous-state branching processes with immigration and Ornstein-Uhlenbeck type processes. We show, and provide foundations for, a wide range of financial applications for regular affine processes. (author's abstract)<br>Series: Working Papers SFB "Adaptive Information Systems and Modelling in Economics and Management Science"

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29

Leclerc, Marc-Antoine. "The Hyperbolic Formal Affine Demazure Algebra." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/35218.

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In this thesis, we extend the construction of the formal (affine) Demazure algebra due to Hoffnung, Malagón-López, Savage and Zainoulline in two directions. First, we introduce and study the notion of formal Demazure lattices of a Kac-Moody root system and show that the definitions and properties of the formal (affine) Demazure operators and algebras hold for such lattices. Second, we show that for the hyperbolic formal group law the formal Demazure algebra is isomorphic (after extending the coefficients) to the Hecke algebra.

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30

Hedén, Isac. "Ga-actions on Complex Affine Threefolds." Doctoral thesis, Uppsala universitet, Matematiska institutionen, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-203708.

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This thesis consists of two papers and a summary. The papers both deal with affine algebraic complex varieties, and in particular such varieties in dimension three that have a non-trivial action of one of the one-dimensional algebraic groups Ga := (C, +) and Gm := (C*, ·). The methods used involve blowing up of subvarieties, the correspondances between Ga - and Gm - actions on an affine variety X with locally nilpotent derivations and Z-gradings respectively on O(X) and passing from a filtered algebra A to its associated graded algebra gr(A). In Paper

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31

Daigle, Daniel. "Birational endomorphisms of the affine plane." Thesis, McGill University, 1987. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=75337.

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Birational morphisms f: X $ to$ Y of nonsingular surfaces are studied first. Properties of the surfaces X and Y are shown to be related to certain numerical data extracted from the configuration of "missing curves" of f, that is, the curves in Y whose generic point is not in f (X). These results are then applied to the problem of decomposing birational endomorphisms of the plane into a succession of irreducible ones.<br>A graph-theoretic machinery is developed to keep track of the desingularization of the divisors at infinity of the plane. That machinery is then used to investigate the problem

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32

Sepe, Daniele. "Integral affine geometry of Lagrangian bundles." Thesis, University of Edinburgh, 2011. http://hdl.handle.net/1842/5279.

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In this thesis, a bundle F →(M,ω) → B is said to be Lagrangian if (M,ω) is a 2n- dimensional symplectic manifold and the fibres are compact and connected Lagrangian submanifolds of (M,ω), i.e. ω |F = 0 for all F. This condition implies that the fibres and the base space are n-dimensional. Such bundles arise naturally in the study of a special class of dynamical systems in Hamiltonian mechanics, namely those called completely integrable Hamiltonian systems. A celebrated theorem due to Liouville [39], Mineur [46] and Arnol`d [2] provides a semi-global (i.e. in the neighbourhood of a fibre) sympl

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33

Kao, Chang-Lung. "Affine invariant matching of noisy objects." Thesis, Monterey, California. Naval Postgraduate School, 1989. http://hdl.handle.net/10945/26852.

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34

Hall, Richard Andrew. "Affine Toda solitons and fusing rules." Thesis, Durham University, 1994. http://etheses.dur.ac.uk/5596/.

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This thesis is concerned with various soliton solutions to some of the affine Toda field theories. These are field theories in 1+1 dimensions that possess a rich underlying Lie algebraic structure and they are known to be integrable. The soliton solutions occur as a result of the multi-vacua that appear in the field theory when the coupling constant is taken to be purely imaginary. In chapter one a review of the affine Toda field theories is undertaken. This is meant to be a relatively complete and exhaustive survey of the literature that has appeared on the subject in recent years. A brief in

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35

Iskandar, Alexander Agustinus Popo. "On breathers in affine Toda theories." Thesis, Durham University, 1995. http://etheses.dur.ac.uk/5236/.

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Oscillating solitonic solutions, the breathers, of affine Toda theory are studied. These breather solutions are constructed from two solitons of the same mass with velocity opposite of each other; by analytically continuing its velocity or rapidity to a complex value, the resulting solution becomes a periodic solution. Generally, the parameters in the soliton solutions are restricted to a certain range of definition. In particular, it is shown for a(^(1))(_n) and d(^(1))(_4) cases, these restrictions can be calculated explicitly. To some cases of a(^(a))(_n) theories, one can show that there a

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36

Davis, Declan Denis Daniel. "Affine differential geometry and singularity theory." Thesis, University of Liverpool, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.479061.

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37

Hussin, Amran. "Characters of affine Kac-Moody algebras." Thesis, University of Southampton, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.296515.

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38

Hyun, Yoonsuk. "On affine embeddings of reductive groups." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/68482.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 63-65).<br>In this thesis, we study the properties and the classification of embeddings of homogeneous spaces, especially the case of affine normal embeddings of reductive groups. We might guess that as in the case of toric varieties, some specific subset of one-parameter subgroups may contribute to the classification of affine embeddings of general reductive group. To check this, we review the theory of affine normal SL(2)-embe

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39

Thórhallsson, Torfi. "Symmetric objects in multiple affine views." Thesis, University of Oxford, 2000. http://ora.ox.ac.uk/objects/uuid:49ec4596-7086-4645-81f8-8dacf48b694a.

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This thesis is concerned with the utilization of object symmety as a cue for segmentation and object recognition. In particular it investigates the problem of detecting 3D bilaterally symmetric objects from affine views. The first part of the thesis investigates the problem of detecting 3D bilateral symmetry within a scene from known point correspondences across two or more affine views. We begin by extending the notion of skewed symmetry to three dimensions, and give a definition in terms of degenerate structure that applies equally to an affine 3D structure or to point correspondences across

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40

Thapa, Magar Surya. "Skeleta of affine curves and surfaces." Diss., Kansas State University, 2015. http://hdl.handle.net/2097/20395.

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Doctor of Philosophy<br>Mathematics<br>Ilia Zharkov<br>A smooth affine hypersurface of complex dimension n is homotopy equivalent to a real n-dimensional cell complex. We describe a recipe of constructing such cell complex for the hypersurfaces of dimension 1 and 2, i.e. for curves and surfaces. We call such cell complex a skeleton of the hypersurface. In tropical geometry, to each hypersurface, there is an associated hypersurface, called tropical hypersurface given by degenerating a family of complex amoebas. The tropical hypersurface has a structure of a polyhedral complex and it is a base

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41

Lehébel, Patrick. "Surfaces et hypersurfaces de revolution affine." Nantes, 1995. http://www.theses.fr/1995NANT2025.

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Cette these est essentiellement un prolongement des travaux d'isaac c. Lee (these en 1993 sous la direction de k. Komizu) concernant les surfaces de revolution affine, c-a-d les surfaces invariantes par un sous-groupe a un parametre de sa (3) dont chaque element respecte la meme droite de points fixes. Apres avoir generalise la definition de lee aux dimensions superieures, nous classifions les hypersurfaces de revolution affine de dimension 3 dans r#4 en 16 modeles a equivalence affine pres et etudions les invariants affines de ces modeles. Une telle longue etude nous permet: 1) de montrer que

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42

Pitsillis, Zachry Steven. "Estimating dynamic affine term structure models." Master's thesis, University of Cape Town, 2015. http://hdl.handle.net/11427/15731.

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Duffee and Stanton (2012) demonstrated some pointed problems in estimating affine term structure models when the price of risk is dynamic, that is, risk factor dependent. The risk neutral parameters are estimated with precision, while the price of risk parameters are not. For the Gaussian models they investigated, these problems are replicated and are shown to stem from a lack of curvature in the log-likelihood function. This geometric issue for identifying the maximum of an essentially horizontal log-likelihood has statistical meaning. The Fisher information for the price of risk parameters i

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43

Thorén, Jesper. "Irreductible representations of quantum affine algebras /." Lund : Center for mathematical sciences, Lund university, 2000. http://catalogue.bnf.fr/ark:/12148/cb39293499j.

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44

Bell, Jason Pierre. "Affine rings of low GK dimension /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2002. http://wwwlib.umi.com/cr/ucsd/fullcit?p3044791.

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45

Kusilek, Jonathan. "On representations of affine Hecke algebras." Thesis, The University of Sydney, 2011. http://hdl.handle.net/2123/12074.

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We introduce a C-algebra Ht corresponding to an affine Hecke algebra H and a central character t of H, and show that the irreducible representations of Ht are precisely the irreducible representations of H with central character t. For certain choices of t we give an explicit construction of a cellular basis of Ht in terms of elementary properties of t. We thus classify, and give a construction of, the irreducible representations of Ht. While the indexing sets appear similar to those given for calibrated representations, we obtain many representations which are not calibrated.

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46

Byun, Eui Won James. "Affine varieties, Groebner basis, and applications." CSUSB ScholarWorks, 2000. https://scholarworks.lib.csusb.edu/etd-project/1611.

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47

Chen, Zongbin. "Sur la pureté des fibres de Springer affines non-ramifiées pour GL4." Phd thesis, Université Paris Sud - Paris XI, 2011. http://tel.archives-ouvertes.fr/tel-00656163.

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La thèse consiste de deux parties. Dans la première partie, on montre la pureté des fibres de Springer affines pour $\gl_{4}$ dans le cas non-ramifié. Plus précisément, on construit une famille de pavages non standard en espaces affines de la grassmannienne affine, qui induisent des pavages en espaces affines de la fibre de Springer affine. Dans la deuxième partie, on introduit une notion de $\xi$-stabilité sur la grassmannienne affine $\xx$ pour le groupe $\gl_{d}$, et on calcule le polynôme de Poincaré du quotient $\xx^{\xi}/T$ de la partie $\xi$-stable $\xxs$ par le tore maximal $T$ par une

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48

Schwarzenberger, Michael. "Affine Processes and Pseudo-Differential Operators with Unbounded Coefficients." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-211510.

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The concept of pseudo-differential operators allows one to study stochastic processes through their symbol. This approach has generated many new insights in recent years. However, most results are based on the assumption of bounded coefficients. In this thesis, we study Levy-type processes with unbounded coefficients and, especially, affine processes. In particular, we establish a connection between pseudo-differential operators and affine processes which are well-known from mathematical finance. Affine processes are an interesting example in this field since they have linearly growing and he

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49

Lugo, Michael Ruben. "A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/89477.

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For an affine Weyl group W, we explicitly determine the elements for which the Möbius function of the subposet of affine Grassmannians under the Bruhat order is non-zero by utilizing the quantum Bruhat graph of the classical Weyl group associated to W . Then we examine embedding stable and consistent statistics on the affine Weyl group of type A which permit the definition of an affine infinite symmetric group.<br>Doctor of Philosophy

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50

Mierendorff, Eva. "On affine Deligne-Lusztig varieties for GLn." [S.l.] : [s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=979018684.

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