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Dissertations / Theses on the topic 'Poisson algebras'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Al-Shujary, Ahmed. "Kähler-Poisson Algebras." Licentiate thesis, Linköpings universitet, Matematik och tillämpad matematik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-150620.

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The focus of this thesis is to introduce the concept of Kähler-Poisson algebras as analogues of algebras of smooth functions on Kähler manifolds. We first give here a review of the geometry of Kähler manifolds and Lie-Rinehart algebras. After that we give the definition and basic properties of Kähler-Poisson algebras. It is then shown that the Kähler type condition has consequences that allow for an identification of geometric objects in the algebra which share several properties with their classical counterparts. Furthermore, we introduce a concept of morphism between Kähler-Poisson algebras

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2

El, Hadrami Mohamed Lemine Ould 1962. "Poisson algebras and convexity." Diss., The University of Arizona, 1996. http://hdl.handle.net/10150/290675.

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In this dissertation, we identify a subgroup Tˢ of Dˢ(μ), the group of Sobolev symplectomorphisms of CP (n), n = 1,2 that has all the properties of a torus of a compact finite dimensional Lie group. We prove that Tˢ: (1) topologically is a submanifold of Dˢ(μ); (2) algebraically is a maximal abelian subgroup of Dˢ(μ); (3) geometrically is flat and totally geodesic. We also characterize the doubly stochastic operators on measurable spaces and use this result to extend the convexity Theorem of T. Bloch, H. Flaschka and T. Ratiu.

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3

Miscione, Steven. "Loop algebras and algebraic geometry." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=116115.

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This thesis primarily discusses the results of two papers, [Hu] and [HaHu]. The first is an overview of algebraic-geometric techniques for integrable systems in which the AKS theorem is proven. Under certain conditions, this theorem asserts the commutatvity and (potential) non-triviality of the Hamiltonian flow of Ad*-invariant functions once they're restricted to subalgebras. This theorem is applied to the case of coadjoint orbits on loop algebras, identifying the flow with a spectral curve and a line bundle via the Lax equation. These results play an important role in the discussion of [HaHu

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4

Lecoutre, César. "Polynomial Poisson algebras : Gel'fand-Kirillov problem and Poisson spectra." Thesis, University of Kent, 2014. https://kar.kent.ac.uk/47941/.

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We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic. Namely, the quadratic Poisson Gel'fand-Kirillov problem asks whether the field of fractions of a Poisson algebra is isomorphic to the field of fractions of a Poisson affine space, i.e. a polynomial algebra such that the Poisson bracket of two generators is equal to their product (up to a scalar). We answer positively the quadratic Poisson Gel'fand-Kirillov problem for a la

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5

Zwicknagl, Sebastian. "Equivariant Poisson algebras and their deformations /." view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1280144671&sid=2&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2006.<br>Typescript. Includes vita and abstract. "In this dissertation I investigate Poisson structures on symmetric and exterior algebras of modules over complex reductive Lie algebras. I use the results to study the braided symmetric and exterior algebras"--P. 1. Includes bibliographical references (leaves 150-152). Also available for download via the World Wide Web; free to University of Oregon users.

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6

Martino, Maurizio. "Symplectic reflection algebras and Poisson geometry." Thesis, University of Glasgow, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.426614.

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7

Walker, Lachlan Duncan. "Deformed Poisson W-algebras of type A." Thesis, University of Aberdeen, 2018. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=239477.

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For the algebraic group SLl+1(C) we describe a system of positive roots associated to conjugacy classes in its Weyl group Sl+1. Using this we explicitly describe the algebra of regular functions on certain transverse slices to conjugacy classes in SLl+1(C) as a polynomial algebra of invariants. These may be viewed as an algebraic group analogue of certain parabolic invariants that generate the W-algebra in type A found by Brundan and Kleshchev.

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8

Damianou, Pantelis Andrea. "Nonlinear Poisson brackets." Diss., The University of Arizona, 1989. http://hdl.handle.net/10150/184704.

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A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associated with the Toda lattice are constructed and the various connections between them are investigated. Among their properties: new brackets are generated from old ones by using Lie-derivatives in the direction of certain vector fields; the infinite sequences obtained consist of compatible Poisson brackets in which the constants of motion for the Toda lattice are in involution. The vector fields in the construction are unique up to addition of a Hamiltonian vector field. Similarly the Poisson brac

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9

Casati, Matteo. "Multidimensional Poisson Vertex Algebras and Poisson cohomology of Hamiltonian structures of hydrodynamic type." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4853.

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The Poisson brackets of hydrodynamic type, also called Dubrovin-Novikov brackets, constitute the Hamiltonian structure of a broad class of evolutionary PDEs, that are ubiquitous in the theory of Integrable Systems, ranging from Hopf equation to the principal hierarchy of a Frobenius manifold. They can be regarded as an analogue of the classical Poisson brackets, defined on an infinite dimensional space of maps Σ → M between two manifolds. Our main problem is the study of Poisson-Lichnerowicz cohomology of such space when dim Σ > 1. We introduce the notion of multidimensional Poisson Vertex Al

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10

Cruz, Ines Maria Bravo de Faria. "The local structure of Poisson manifolds." Thesis, University of Warwick, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.309896.

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11

Gärtner, Andreas [Verfasser]. "Recurrence, Transience, and Poisson Boundaries in Operator Algebras / Andreas Gärtner." München : Verlag Dr. Hut, 2014. http://d-nb.info/1059329999/34.

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12

Brandl, Mary-Katherine. "Primitive and Poisson spectra of non-semisimple twists of polynomial algebras /." view abstract or download file of text, 2001. http://wwwlib.umi.com/cr/uoregon/fullcit?p3024507.

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Thesis (Ph. D.)--University of Oregon, 2001.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaf 49). Also available for download via the World Wide Web; free to University of Oregon users.

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13

Thiffeault, Jean-Luc. "Classification, Casimir invariants, and stability of lie-poisson systems /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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14

Goze, Nicolas. "N-ary algebras. Arithmetic of intervals." Phd thesis, Université de Haute Alsace - Mulhouse, 2011. http://tel.archives-ouvertes.fr/tel-00710165.

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This thesis has two distinguish parts. The first part concerns the study of n-ary algebras. A n-ary algebra is a vector space with a multiplication on n arguments. Classically the multiplications are binary, but the use of ternary multiplication in theoretical physic like for Nambu brackets led mathematicians to investigate these type of algebras. Two classes of n-ary algebras are fundamental: the associative n-ary algebras and the Lie n-ary algebras. We are interested by both classes. Concerning the associative n-ary algebras we are mostly interested in 3-ary partially associative 3-ary algeb

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15

Lano, Ralph Peter. "Application of co-adjoint orbits to the loop group and the diffeomorphism group of the circle." Thesis, University of Iowa, 1994. https://ir.uiowa.edu/etd/5393.

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16

Ekstrand, Joel. "Going Round in Circles : From Sigma Models to Vertex Algebras and Back." Doctoral thesis, Uppsala universitet, Teoretisk fysik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-159918.

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In this thesis, we investigate sigma models and algebraic structures emerging from a Hamiltonian description of their dynamics, both in a classical and in a quantum setup. More specifically, we derive the phase space structures together with the Hamiltonians for the bosonic two-dimensional non-linear sigma model, and also for the N=1 and N=2 supersymmetric models. A convenient framework for describing these structures are Lie conformal algebras and Poisson vertex algebras. We review these concepts, and show that a Lie conformal algebra gives a weak Courant–Dorfman algebra. We further show that

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17

Källén, Johan. "Twisting and Gluing : On Topological Field Theories, Sigma Models and Vertex Algebras." Doctoral thesis, Uppsala universitet, Teoretisk fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-173225.

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This thesis consists of two parts, which can be read separately. In the first part we study aspects of topological field theories. We show how to topologically twist three-dimensional N=2 supersymmetric Chern-Simons theory using a contact structure on the underlying manifold. This gives us a formulation of Chern-Simons theory together with a set of auxiliary fields and an odd symmetry. For Seifert manifolds, we show how to use this odd symmetry to localize the path integral of Chern-Simons theory. The formulation of three-dimensional Chern-Simons theory using a contact structure admits natural

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18

Van, De Ven Christiaan Jozef Farielda. "Quantum Systems and their Classical Limit A C*- Algebraic Approach." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/324358.

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In this thesis we develop a mathematically rigorous framework of the so-called ''classical limit'' of quantum systems and their semi-classical properties. Our methods are based on the theory of strict, also called C*- algebraic deformation quantization. Since this C*-algebraic approach encapsulates both quantum as classical theory in one single framework, it provides, in particular, an excellent setting for studying natural emergent phenomena like spontaneous symmetry breaking (SSB) and phase transitions typically showing up in the classical limit of quantum theories. To this end, several tech

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19

Castañeda, Terrones Jose Luis. "Review of geometric quantization and WKB method." Universidade Estadual Paulista (UNESP), 2018. http://hdl.handle.net/11449/157267.

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Aminou, Adérodjou A. Rachidi. "Groupes de Lie-Poisson et bigèbres de Lie." Lille 1, 1988. http://www.theses.fr/1988LIL10139.

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Un groupe de lie-poisson est un groupe de lie g muni d'une structure de poisson telle que la multiplication soit un morphisme de poisson de g x g dans g. L'algebre de lie d'un groupe de lie-poisson porte une structure supplementaire qui en fait une bigebre de lie. Nous etudions les bigebres de lie (autodualite, triplets de manin) et les algebres de lie bicroisees qui generalisent des bigebres de lie. Nous considerons le cas des bigebres de lie exactes, en particulier des bigebres de lie quasitriangulaires et nous etudions plusieurs exemples. Nous montrons que la categorie des bigebres de lie q

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21

Saint-Germain, Michel. "Algebres de poisson et structures transverses." Paris 7, 1997. http://www.theses.fr/1997PA077150.

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Pour une algebre de lie nilpotente reelle, on considere une orbite coadjointe dans le dual de cette algebre. C'est une feuille symplectique de la structure de poisson de ce dual. L'algebre des fonctions regulieres sur l'orbite est une algebre de poisson-weyl. On a ainsi l'existence de fonctions regulieres sur l'orbite verifiant les relations de darboux. Le premier probleme etudie est celui du prolongement de ces fonctions par des fonctions sur le dual, verifiant encore les relations de darboux. On montre l'existence de relevements (homomorphismes d'algebres de poisson) de l'algebre de poisson-

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22

Zhang, Pumei. "Algebraic aspects of compatible poisson structures." Thesis, Loughborough University, 2012. https://dspace.lboro.ac.uk/2134/10110.

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This thesis consists of three chapters. In Chapter one, we introduce some notions and definitions for basic concepts of the theory of integrable bi-Hamiltonian systems. Brief statements of several open problems related to our main results are also mentioned in this part. In Chapter two, we applied the so-called Jordan-Kronecker decomposition theorem to study algebraic properties of the pencil P generated by two constant compatible Poisson structures on a vector space. In particular, we study the linear automorphism group GP that preserves P. In classical symplectic geometry, many fundamental r

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23

Bäck, Viktor. "Localization of Multiscale Screened Poisson Equation." Thesis, Uppsala universitet, Algebra och geometri, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-180928.

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24

Kunz, Daniel. "Lieovy grupy a jejich fyzikální aplikace." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-417088.

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In this thesis I describe construction of Lie group and Lie algebra and its following usage for physical problems. To be able to construct Lie groups and Lie algebras we need define basic terms such as topological manifold, tensor algebra and differential geometry. First part of my thesis is aimed on this topic. In second part I am dealing with construction of Lie groups and algebras. Furthermore, I am showing different properties of given structures. Next I am trying to show, that there exists some connection among Lie groups and Lie algebras. In last part of this thesis is used just for show

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25

Dresse, Alain M. G. "Polynomial Poisson structures and dummy variables in computer algebra." Doctoral thesis, Universite Libre de Bruxelles, 1993. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/212775.

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26

Melani, Valerio. "Poisson and coisotropic structures in derived algebraic geometry." Thesis, Sorbonne Paris Cité, 2016. http://www.theses.fr/2016USPCC299/document.

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Dans cette thèse, on définit et on étudie les notions de structure de Poisson et coïsotrope sur un champ dérivé, dans le contexte de la géométrie algébrique dérivée. On considère deux présentations différentes de structure de Poisson : la première est purement algébrique, alors que la deuxième est plus géométrique. On montre que les deux approches sont en fait équivalentes. On introduit aussi la notion de structure coïsotrope sur un morphisme de champs dérivés, encore une fois en présentant deux définitions équivalentes : la première est basée sur une généralisation appropriée de l'opérade Swi

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27

GAVARINI, FABIO. "Quantizzazione di gruppi di Poisson." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 1996. http://hdl.handle.net/2108/40610.

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Sia G ^\tau un gruppo algebrico semisemplice connesso e semplicemente connesso, dotato della struttura di gruppo di Poisson di Sklyanin-Drinfel’d generalizzata; sia H^\tau il suo gruppo di Poisson duale. Mediante la costruzione del doppio quantico e la dualizzazione tramite algebre di Hopf formali, costruiamo nuovi gruppi quantici U^M_{q,\varphi}(h) — duali dei gruppi quantici multiparametrici U^{M'}_{q,\varphi}(g) costruiti su g^\tau , con g = Lie(G) — che danno quantizzazioni infinitesimali di H ^\tau e G^\tau ; studiamo le loro specializzazioni alle radici dell'unità (in particolare, i lor

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28

Elek, Balázes. "Computing the standard Poisson structure on Bott-Samelson varieties incoordinates." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2012. http://hub.hku.hk/bib/B4833005X.

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Bott-Samelson varieties associated to reductive algebraic groups are much studied in representation theory and algebraic geometry. They not only provide resolutions of singularities for Schubert varieties but also have interesting geometric properties of their own. A distinguished feature of Bott-Samelson varieties is that they admit natural affine coordinate charts, which allow explicit computations of geometric quantities in coordinates. Poisson geometry dates back to 19th century mechanics, and the more recent theory of quantum groups provides a large class of Poisson structures associa

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29

Leray, Johan. "Approche fonctorielle et combinatoire de la propérade des algèbres double Poisson." Thesis, Angers, 2017. http://www.theses.fr/2017ANGE0027/document.

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On construit et étudie la généralisation des algèbres double Poisson décalées à toute catégorie monoïdale symétrique additive. On s’intéresse notamment aux algèbres double Poisson linéaires et quadratiques. Dans un second temps, on étudie la koszulité des propérades DLie et DPois = As ⮽c DLie qui encodent respectivement les algèbres double Lie et les algèbres doubles Poisson. On associe à chacune de ces propérades, un S-module muni d’une structure de monoïde pour un nouveau produit monoïdal dit de composition connexe : on appelle de tels monoïdes protopérades. On montre notamment l’existence,

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30

Dahamna, Khaled. "Classification des algèbres de Lie sous-riemanniennes et intégrabilité des équations géodésiques associées." Phd thesis, INSA de Rouen, 2011. http://tel.archives-ouvertes.fr/tel-00769931.

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Dans cette thèse, on s'intéresse en premier aux problèmes sous-riemanniens sur un groupe de Lie nilpotent d'ordre 2. Dans un premier temps, on réalise la classification complète des algèbres de Lie sous-riemanniennes (SR-algèbres de Lie) nilpotentes d'ordre 2 de dimension n compris entre 3 et 7, et celles de dimension arbitraire n telle que l'algèbre dérivée est de dimension une.De plus, nous avons distingué les SR-algèbres de Lie de contact et de quasi-contact et nous avons calculé, en dimension 5, le groupe des SR-symétries infinitésimales. Une fois cette classification réalisée, on étudie l

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31

Valvo, Lorenzo. "Hamiltonian perturbation theory on a poisson algebra : application to a throbbing top and to magnetically confined particles." Thesis, Aix-Marseille, 2019. http://www.theses.fr/2019AIXM0498.

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La théorie de perturbation Hamiltonienne de la mécanique classique est basé sur la structure d'algébre de Lie. Mais on trouve des structures de Lie dans tout les systèmes dit ``de Poisson''. Dans la première partie de cette thèse, on propose une approche purement algébrique à la théorie classique des perturbations, qui s'applique donc à tout les système de Poisson. Dans cette méthode, introduit en [Vittot, 2004] une transformation (de Lie) permet de diviser la perturbation en un terme préservant le flot non perturbé, et une correction quadratique.Dans l'exemple d'une Toupie Pulsante (un corps

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32

Elchinger, Olivier. "Formalité liée aux algèbres enveloppantes et étude des algèbres Hom-(co)Poisson." Phd thesis, Université de Haute Alsace - Mulhouse, 2012. http://tel.archives-ouvertes.fr/tel-00857460.

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Le but de cette thèse est d'étudier quelques aspects algébriques du problème de quantification par déformation. On considère d'une part la formalité dans le cas des algèbres libres et de l'algèbre de Lie so(3), et on s'intéresse d'autre part à la quantification par déformation pour des structures Hom-algébriques. Suivant le résultat de formalité de Kontsevich en 1997 pour les algèbres symétriques, on étudie dans la première partie de cette thèse les algèbres libres, qui sont un cas particulier d'algèbres enveloppantes, et on montre qu'il n'y a pas formalité en général, sauf dans les cas trivia

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Fauquant-Millet, Florence. "Sur la polynomialité de certaines algèbres d'invariants d'algèbres de Lie." Habilitation à diriger des recherches, Université Jean Monnet - Saint-Etienne, 2014. http://tel.archives-ouvertes.fr/tel-00994655.

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Ce mémoire étudie la polynomialité de l'algèbre des invariants de l'algèbre des fonctions polynomiales sur le dual d'une certaine algèbre de Lie, lorsque cette dernière est la troncation canonique d'une sous-algèbre biparabolique d'une algèbre de Lie semi-simple complexe.

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Garcia, Hilares Nilton Alan. "A Parallel Aggregation Algorithm for Inter-Grid Transfer Operators in Algebraic Multigrid." Thesis, Virginia Tech, 2019. http://hdl.handle.net/10919/94618.

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As finite element discretizations ever grow in size to address real-world problems, there is an increasing need for fast algorithms. Nowadays there are many GPU/CPU parallel approaches to solve such problems. Multigrid methods can be used to solve large-scale problems, or even better they can be used to precondition the conjugate gradient method, yielding better results in general. Capabilities of multigrid algorithms rely on the effectiveness of the inter-grid transfer operators. In this thesis we focus on the aggregation approach, discussing how different aggregation strategies affect the

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Santos, Caio Fernando Rodrigues dos 1986. "Funções de interpolação e técnicas de solução para problemas de poisson usando método de elementos finitos de alta ordem." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/263524.

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Orientador: Marco Lúcio Bittencourt<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica<br>Made available in DSpace on 2018-08-17T22:43:41Z (GMT). No. of bitstreams: 1 Santos_CaioFernandoRodriguesdos_M.pdf: 3714047 bytes, checksum: 27c280eb98d3fe8f79e3d49756adf322 (MD5) Previous issue date: 2011<br>Resumo: Esse trabalho apresenta uma nova técnica de solução para o problema de Poisson, via problemas de projeção local, baseada na equivalência dos coeficientes para os problemas de Poisson e projeção. Um método de construção de matrizes de massa e rigi

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Butin, Frédéric. "Structures de Poisson sur les Algèbres de Polynômes, Cohomologie et Déformations." Thesis, Lyon 1, 2009. http://www.theses.fr/2009LYO10192/document.

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La quantification par déformation et la correspondance de McKay forment les grands thèmes de l'étude qui porte sur des variétés algébriques singulières, des quotients d'algèbres de polynômes et des algèbres de polynômes invariants sous l'action d'un groupe fini. Nos principaux outils sont les cohomologies de Poisson et de Hochschild et la théorie des représentations. Certains calculs formels sont effectués avec Maple et GAP. Nous calculons les espaces d'homologie et de cohomologie de Hochschild des surfaces de Klein, en développant une généralisation du Théorème de HKR au cas de variétés non l

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Tagne, Pelap Serge Roméo. "Les propriétés homologiques des algèbres elliptiques de petite dimension." Phd thesis, Université d'Angers, 2008. http://tel.archives-ouvertes.fr/tel-00599328.

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Cette thèse est consacrée à l'étude des propriétés homologiques d'une famille d'algèbres associatives attachée aux courbes elliptiques. Chaque algèbre de cette famille admet un nombre ni de générateurs subordonnés aux relations quadratiques. Elles sont aujourd'hui connues sous le nom d'algèbres elliptiques de Sklyanin-Odesskii- Feigin. Il convient toutefois de souligner que le cas le plus simple, la famille d'algèbres elliptiques avec trois générateurs, était déjà connue de Artin et Shelter.

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Lemarié, Caroline. "Quelques structures de Poisson et équations de Lax associées au réseau de Toeplitz et au réseau de Schur." Thesis, Poitiers, 2012. http://www.theses.fr/2012POIT2286/document.

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Le réseau de Toeplitz est un système hamiltonien dont la structure de Poisson est connue. Dans cette thèse, nous donnons l'origine de cette structure de Poisson et nous en déduisons des équations de Lax associées au réseau de Toeplitz. Nous construisons tout d'abord une sous-variété de Poisson Hn de GLn(C), ce dernier étant vu comme un groupe de Lie-Poisson réel ou complexe dont la structure de Poisson provient d'un R-crochet quadratique sur gln(C) pour une R-matrice fixée. L'existence d'hamiltoniens associés au réseau de Toeplitz pour la structure de Poisson sur Hn ainsi que les propriétés du

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pl, tomasz@uci agh edu. "A Lie Group Structure on Strict Groups." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1076.ps.

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Vigot, Gabriel. "Réseaux de neurones en graphe pour la modélisation de propulseurs ioniques à effet Hall." Electronic Thesis or Diss., Université de Toulouse (2023-....), 2025. http://www.theses.fr/2025TLSEP017.

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Lorsque nous devons modéliser des plasmas par des simulations numériques, il est indispensable résoudre des systèmes d’équation aussi connu sous le nom de système linéaire. Cette étape de calcul peut représenter l’un des coûts les plus critiques pour une simulation numérique. Dans un contexte numérique où nous devons modéliser des plasmas pour représenter un propulseur ionique à effet Hall en fonctionnement, calculer le champ électrique est nécessaire pour visualiser le comportement du propulseur au cours du temps. Le champ électrique est directement déduit de l’équation de Poisson. Cette équa

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Brenčys, Liutauras. "Puasono lygties sprendimas naudojantis šaltinio apibendrintomis hiperbolinės funkcijomis." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2011. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2011~D_20110804_100133-71588.

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Sudarytas Puasono lygties sprendimo per „rutuliukų“ potencialus algoritmas. Šiuo metodu Puasono lygties sprendimo uždavinys suvedamas į tiesinių algebrinių lygčių sistemos sprendimą. Sudaryta ir išbandyta matematiniu paketu MATHCAD to sprendimo programa. Palyginti gauti sprendiniai su tais, kurie gaunami analiziškai, įvertintas gautų sprendinių tikslumas. Šį sprendimo būdą galima panaudoti realiems fizikiniams potencialams paskaičiuoti, turint galvoje realų potencialą su kuriuo realūs krūviai.<br>It consists of Poisson equation solution in the "ball" potential algorithm. In this method the Poi

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Paolantoni, Thibault. "Application de Riemann-Hilbert-Birkhoff." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLS410/document.

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L'application exponentielle duale est une façon d'encoder les matrices de Stokes d'une connexion sur un fibré trivial sur la sphère de Riemann avec deux pôles : un pôle double en 0 et un pôle simple en l'infini.On donne ici une formule pour l'application exponentielle duale comme une série formelle non commutative. D'autres généralisations de cette formule sont données<br>The exponential dual map is a way to encode Stokes data of a connection on a trivial vector bundle on the Riemann sphere with two poles: one double pole at 0 and one simple pole at infinity.We give here a formula for the expo

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Villoutreix, Paul. "Aléatoire et variabilité dans l’embryogenèse animale, une approche multi-échelle." Thesis, Sorbonne Paris Cité, 2015. http://www.theses.fr/2015PA05T016/document.

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Nous proposons dans cette thèse de caractériser quantitativement la variabilité à différentes échelles au cours de l'embryogenèse. Pour ce faire, nous utilisons une combinaison de modèles mathématiques et de résultats expérimentaux. Dans la première partie, nous utilisons une petite cohorte d'oursins digitaux pour construire une représentation prototypique du lignage cellulaire, reliant les caractéristiques des cellules individuelles avec les dynamiques à l'échelle de l'embryon tout entier. Ce modèle probabiliste multi-niveau et empirique repose sur les symétries des embryons et sur les identi

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Sen, Suparna. "Segal-Bargmann Transform And Paley Wiener Theorems On Motion Groups." Thesis, 2010. https://etd.iisc.ac.in/handle/2005/2267.

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Sen, Suparna. "Segal-Bargmann Transform And Paley Wiener Theorems On Motion Groups." Thesis, 2010. http://etd.iisc.ernet.in/handle/2005/2267.

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Vignoli, Veronica. "On Poisson vertex algebra cohomology." Doctoral thesis, 2019. http://hdl.handle.net/11573/1322598.

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We construct a canonical map from the Poisson vertex algebra cohomology complex to the differential Harrison cohomology complex, which restricts to an isomorphism on the top degree. This is an important step in the computation of Poisson vertex algebra and vertex algebra cohomologies.

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"Algebraic Multigrid Poisson Equation Solver." Master's thesis, 2015. http://hdl.handle.net/2286/R.I.29693.

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abstract: From 2D planar MOSFET to 3D FinFET, the geometry of semiconductor devices is getting more and more complex. Correspondingly, the number of mesh grid points increases largely to maintain the accuracy of carrier transport and heat transfer simulations. By substituting the conventional uniform mesh with non-uniform mesh, one can reduce the number of grid points. However, the problem of how to solve governing equations on non-uniform mesh is then imposed to the numerical solver. Moreover, if a device simulator is integrated into a multi-scale simulator, the problem size will be further i

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TORTORELLA, ALFONSO GIUSEPPE. "Deformations of coisotropic submanifolds in Jacobi manifolds." Doctoral thesis, 2017. http://hdl.handle.net/2158/1077777.

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In this thesis, we investigate deformation theory and moduli theory of coisotropic submanifolds in Jacobi manifolds. Originally introduced by Kirillov as local Lie algebras with one dimensional fibers, Jacobi manifolds encompass, unifying and generalizing, locally conformal symplectic manifolds, locally conformal Poisson manifolds, and non-necessarily coorientable contact manifolds. We attach an L-infinity-algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (symplectic case), Cattaneo-Felder (Poisson case), a

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Zung, Jea-Ming, and 張志明. "On the Poisson algebra related B background field." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/15938716921571365564.

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碩士<br>國立臺灣大學<br>物理學研究所<br>90<br>The noncommutative theory which says that the commutator of coordinates has a non-zero value, say $\theta$, in some sense and the Poisson algebra generated by differential forms imply that one may have a Yang-Mills theory described in noncommutative space. Some proposals marks the onset of these jobs: Low energy effective theory lives on a noncommutative space. For a D-brane in a constant $B$ field background, one has $\theta=B^{-1}$ in the zero slope limit. One will have an associative algebra

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Ochoa, Arango Jesús Alonso. "Grupoides y algebroides dobles de Lie /." Doctoral thesis, 2010. http://hdl.handle.net/11086/144.

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Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 2010.<br>En este trabajo demostramos que todo grupoide doble de Lie con acción medular propia esta completamente determinado por una factorización de un cierto grupoide de Lie diagonal canónicamente definido. Tambien, estudiamos la versión infinitesimal de este concepto, la de algebroide doble de Lie y como resultado introducimos una nueva clase de ejemplos construidos a partir de ciertos diagramas de álgebras de Lie. En la parte final, proponemos los conceptos de biálgebra infinitesim

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