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Rozprawy doktorskie na temat „Integrability”

Autor: Grafiati
Data publikacji: 4 czerwca 2021
Data aktualizacji: 25 lipca 2025

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1

Clarke, Daniel. "Integrability in submanifold geometry." Thesis, University of Bath, 2012. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.558890.

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This thesis concerns the relationship of submanifold geometry, in both the smooth and discrete sense, to representation theory and the theory of integrable systems. We obtain Lie theoretic generalisations of the transformation theory of projectively and Lie applicable surfaces, and M�obius-flat submanifolds of the conformal n-sphere. In the former case, we propose a discretisation. We develop a projective approach to centro-ane hypersurfaces, analogous to the conformal approach to submanifolds in spaceforms. This yields a characterisation of centro-ane hypersurfaces amongst M�obius-flat projec
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2

Young, Charles Alastair Stephen. "Integrability and symmetric spaces." Thesis, University of Cambridge, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.614914.

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3

Coletta, Meredith L. Hicks R. Andrew. "Integrability in optical design /." Philadelphia, Pa. : Drexel University, 2009. http://hdl.handle.net/1860/3079.

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4

Engbrant, Fredrik. "Supersymmetric Quantum Mechanics and Integrability." Thesis, Uppsala universitet, Teoretisk fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-173301.

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This master’s thesis investigates the relationship between supersymmetry and integrability in quantum mechanics. This is done by finding a suitable way to systematically add more supersymmetry to the system. Adding more super- symmetry will give constraints on the potential which will lead to an integrable system. A possible way to explore the integrability of supersymmetric quantum mechanics was introduced in a paper by Crombrugghe and Rittenberg in 1983, their method has been used as well as another approach based on expanding a N = 1 system by introducing complex structures. N = 3 or more s
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5

Scott, Daniel R. D. "Separation of variables and integrability." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.389963.

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6

Chen, Y.-C. "Anti-integrability in Lagrangian systems." Thesis, University of Cambridge, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.597512.

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Three examples of application of the anti-integrability concept in Lagrangian systems are proved, concerning the continuation of a class of trajectories from the anti-integrable limit. All three examples were proposed by Robert S. MacKay. The first example arises in adiabatically perturbed systems. With an assumption that the adiabatic Poincaré-Melnikov function has simple zeros, we constructed a variational functional whose critical points give rise to a sequence of homoclinic trajectories for the unperturbed Lagrangian in the adiabatic limit but a sequence of multi-bump trajectories under pe
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7

Zhao, Peng. "Integrability in supersymmetric gauge theories." Thesis, University of Cambridge, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.648125.

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8

Katsimpouri, Despoina. "Integrability in two-dimensional gravity." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2015. http://dx.doi.org/10.18452/17316.

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In dieser Arbeit untersuchen wir Gravitations- und Supergravitationssysteme, die in zwei Dimensionen vollständig integrabel sind. Dies sind Theorien, zu denen auch die einsteinsche Gravitation zählt, die bei dimensionaler Reduktion auf drei Dimensionen, die Form eines nichtlinearen $\s$-Models für den Materieteil annehmen und als Zielmannigfaltigkeit den Cosetraum $\mathrm{G}/\mathrm{K}$ haben. Ausgehend von der einsteinschen Gravitation betrachten wir insbesondere die Klasse der stationären und axialsymmetrischen Lösungen. Dabei untersuchen wir das lineare System (Lax-Paar), das den nichtlin
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9

Gahramanov, Ilmar. "Superconformal indices, dualities and integrability." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17568.

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In dieser Arbeit behandeln wir exakte, nicht-perturbative Ergebnisse, die mithilfe der superkonformen Index-Technik, in supersymmetrischen Eichtheorien mit vier Superladungen (d. h. N=1 Supersymmetrie in vier Dimensionen und N=2 in drei Dimensionen) gewonnen wurden. Wir benutzen die superkonforme Index-Technik um mehrere Dualitäts Vermutungen in supersymmetrischen Eichtheorien zu testen. Wir führen Tests der dreidimensionalen Spiegelsymmetrie und Seiberg ähnlicher Dualitäten durch. Das Ziel dieser Promotionsarbeit ist es moderne Fortschritte in nicht-perturbativen supersymmetrischen Eichtheor
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10

Debernardi, Pinos Alberto. "Convergence and integrability of fourier transforms." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/463030.

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El propòsit d'aquesta tesi és el d'estudiar dos tipus de problema diferents per a certes transformades de Fourier. Primer investiguem la convergència uniforme d'integrals sinusoidals en una i dos dimensions. Per a dur a terme aquesta investigació, utilitzem una condicio de monotonia general, recentment introduïda, tot desenvolupant aquesta teoria en concordança amb les nostres necessitats. Com a resultats principals, obtenim condicions necessàries i suficients que les funcions monòtones generals han de satisfer per tal de poder assegurar la convergència uniforme de les seves respectives tra
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11

Evans, N. Wyn. "Separability and integrability in stellar dynamics." Thesis, University of Cambridge, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.315028.

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12

Chen, H. Y. "On integrability in gauge/string correspondence." Thesis, University of Cambridge, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.597543.

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In this Thesis, we present some direct quantitative tests for AdS/CFT correspondence using the newly discovered “integrability”. We shall begin by explaining the ideas of algebraic Bethe ansatz and scattering matrix in both gauge and string theories, and discussions how they enable us to extract the spectra of the scaling dimensions of the gauge invariant operators or the energies of the dual string states. In chapter 3, we explicitly apply the Bethe ansatz techniques in thermodynamically limit to the so-called <i>β</i>-deformation of ℵ = 4 SYM, and extract the one-loop anomalous dimensions fo
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13

Grossberg, Michael David. "Complete integrability and geometrically induced representations." Thesis, Massachusetts Institute of Technology, 1991. http://hdl.handle.net/1721.1/43161.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1991.<br>GRSN 579612<br>Vita.<br>Includes bibliographical references (leaves 92-93).<br>by Michael David Grossberg.<br>Ph.D.
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14

Ferreira, Gonçalves Helena Daniela. "2-microlocal spaces with variable integrability." Universitätsverlag der Technischen Universität Chemnitz, 2017. https://monarch.qucosa.de/id/qucosa%3A20972.

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In this work we study several important properties of the 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability. Due to the richness of the weight sequence used to measure smoothness, this scale of function spaces incorporates a wide range of function spaces, of which we mention the spaces with variable smoothness. Within the existing characterizations of these spaces, the characterization via smooth atoms is undoubtedly one of the most used when it comes to obtain new results in varied directions. In this work we make use of such characterization to prove several embeddi
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15

Zenkov, Dmitry V. "Integrability and stability of nonholonomic systems /." The Ohio State University, 1998. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487951214939032.

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16

Boman, Frode. "Integrability of Boltzmann's discontinuous gravitational system." Thesis, KTH, Fysik, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297603.

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A dynamical system originally invented by Boltzmann has had recent developments. The system consists of a particle in a gravitational potential with an added centrifugal force, which is subject to reflection against a wall that separates the system from the gravitational center. The recent developments are with regards to the integrability of the system in the special case of vanishing centrifugal term. The purpose of this essay is to explicate these developments.<br>Ett dynamiskt system, ursprungligen uppfunnet av Boltzmann, har nyligen sett utvecklingar. Systemet består av en partikel i en g
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17

Contatto, Felipe. "Vortices, Painlevé integrability and projective geometry." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/275099.

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GaugThe first half of the thesis concerns Abelian vortices and Yang-Mills theory. It is proved that the 5 types of vortices recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. As a consequence, the twistor integrability results of such vortices can be derived. It is presented a natural definition of their kinetic energy and thus the metric of the moduli space was calculated by the Samols' localisation method. Then, a modified version of the Abelian–Higgs model
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18

Bonini, Alfredo <1986&gt. "Supersymmetric 4d gauge theories and Integrability." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amsdottorato.unibo.it/8707/1/Bonini_Alfredo_Tesi.pdf.

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Taking advantage of the integrable structures emergent in the theory, non-local observables such as null polygonal Wilson loops are studied in 4d planar N = 4 Super Yang-Mills. Their duality with the 4d gluon scattering amplitudes makes the analysis even more interesting. The so-called Pentagon approach, an application of the Operator Product Expansion (OPE) method to the null polygonal Wilsol loops, makes possible a non-perturbative evaluation of these objects. They are recast as an OPE series over the 2d GKP flux-tube excitations, a description reminescent of the QCD flux-tube stretching
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19

Tureli, Sina. "Integrability of Continuous Tangent Sub-bundles." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4876.

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In this thesis, the main aim is to study the integrability properties of continuous tangent sub-bundles, especially those that arise in the study of dynamical systems. After the introduction and examples part we start by studying integrability of such sub-bundles under different regularity and dynamical assumptions. Then we formulate a continuous version of the classical Frobenius theorem and state some applications to such bundles, to ODE and PDE. Finally we close of by stating some ongoing work related to interactions between integrability, sub-Riemannian geometry and contact geometry.
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20

Ter-Braak, Floris. "Perturbed KdV equations and their integrability properties." Thesis, Durham University, 2018. http://etheses.dur.ac.uk/12550/.

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In this thesis we investigate the integrability properties of the regularized long-wave (RLW) equation and modified regularized long-wave (mRLW) equation as perturbations of the integrable Korteweg-de Vries (KdV) equation. We study various properties of numerical mRLW three-soliton scattering and compare these with the corresponding RLW soliton solutions. We find that the numerical mRLW solitons behave much like integrable solitons in the sense that the only result of the three-soliton interaction is the phase shift each soliton experiences, which is approximately equal to the sum of pairwise
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21

Fontanella, Andrea. "Black horizons and integrability in string theory." Thesis, University of Surrey, 2018. http://epubs.surrey.ac.uk/849271/.

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This thesis is devoted to the study of geometric aspects of black holes and integrable structures in string theory. In the first part, symmetries of the horizon and its bulk extension will be investigated. We investigate the horizon conjecture beyond the supergravity approximation, by considering alpha prime corrections of heterotic supergravity in perturbation theory, and show that standard global techniques can no longer be applied. A sufficient condition to establish the horizon conjecture will be identified. As a consequence of our analysis, we find a no-go theorem for AdS2 backgrounds in
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22

Stepanchuk, Andrej. "Aspects of integrability in string sigma-models." Thesis, Imperial College London, 2015. http://hdl.handle.net/10044/1/28904.

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The recent success in applying integrability-based methods to study examples of gauge/gravity dualities in highly (super)symmetric settings motivates the question of whether such methods can be carried over to more physical and less symmetric cases. In this thesis we consider two such examples of string sigma-models, which interpolate between integrable or solvable limits. First we consider classical string motion on curved p-brane backgrounds for which the sigma-model interpolates between the integrable flat space and AdS(k)xS(k) coset or WZW sigma-models. We find that while the equations for
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23

Lloyd, Thomas. "Advancing integrability for strings in AdS3/CFT2." Thesis, City University London, 2016. http://openaccess.city.ac.uk/14883/.

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In this thesis we develop techniques of integrability in the study of dualities between two-dimensional conformal field theories and theories of closed strings on three-dimensional Anti-de Sitter background geometries. For several years after integrability was first applied to the 3d/2d dualities, it was an unanswered question how to incorporate the so-called \massless modes" of these theories into the integrability machinery. Here we tackle this problem in several contexts. We show that in the classical integrable description of closed strings the implementation of the string Virasoro constra
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24

Groha, Stefan. "Weak integrability breaking and full counting statistics." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:9ea5d98c-0aa6-4ea3-a6b7-2e413c24811d.

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In this thesis two questions of equilibrium and non-equilibrium properties in many-body quantum mechanical systems are investigated. The first part is focused on probability distributions of quantum observables in many-body quantum systems. After an introduction to probability distributions, full counting statistics and the transverse field Ising model we give a brief overview over related experiments and then derive an expression for the probability distribution of the transverse field magnetization of a finite subsystem in any Gaussian state. We study the probability distribution in ground a
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25

Spalding, Kathryn. "Growth and integrability in multi-valued dynamics." Thesis, Loughborough University, 2018. https://dspace.lboro.ac.uk/2134/33483.

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This thesis is focused on the problem of growth and integrability in multi-valued dynamics generated by $SL_2 (\mathbb{Z})$ actions. An important example is given by Markov dynamics on the cubic surface $$x^2+ y^2 +z^2 = 3xyz,$$ generating all the integer solutions of this celebrated Diophantine equation, known as Markov triples. To study the growth problem of Markov numbers we use the binary tree representation. This allows us to define the Lyapunov exponents $\Lambda (x)$ as the function of the paths on this tree, labelled by $x \in \mathbb{R}P^1$. We prove that $\Lambda (x)$ is a $PGL_2 (\m
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26

Bombardelli, Diego <1980&gt. "Aspects of Integrability in Gauge/String Correspondence." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2009. http://amsdottorato.unibo.it/2244/1/Bombardelli_Diego_tesi.pdf.

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In this thesis, we present our work about some generalisations of ideas, techniques and physical interpretations typical for integrable models to one of the most outstanding advances in theoretical physics of nowadays: the AdS/CFT correspondences. We have undertaken the problem of testing this conjectured duality under various points of view, but with a clear starting point - the integrability - and with a clear ambitious task in mind: to study the finite-size effects in the energy spectrum of certain string solutions on a side and in the anomalous dimensions of the gauge theory on the oth
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27

Bombardelli, Diego <1980&gt. "Aspects of Integrability in Gauge/String Correspondence." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2009. http://amsdottorato.unibo.it/2244/.

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In this thesis, we present our work about some generalisations of ideas, techniques and physical interpretations typical for integrable models to one of the most outstanding advances in theoretical physics of nowadays: the AdS/CFT correspondences. We have undertaken the problem of testing this conjectured duality under various points of view, but with a clear starting point - the integrability - and with a clear ambitious task in mind: to study the finite-size effects in the energy spectrum of certain string solutions on a side and in the anomalous dimensions of the gauge theory on the oth
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28

Brini, Andrea. "Duality and integrability in topological string theory." Doctoral thesis, SISSA, 2009. http://hdl.handle.net/20.500.11767/4929.

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29

Little, Steven. "INTEGRABILITY OF A SINGULARLY PERTURBED MODEL DESCRIBING GRAVITY WATER WAVES ON A SURFACE OF FINITE DEPTH." Master's thesis, University of Central Florida, 2008. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3285.

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Our work is closely connected with the problem of splitting of separatrices (breaking of homoclinic orbits) in a singularly perturbed model describing gravity water waves on a surface of finite depth. The singularly perturbed model is a family of singularly perturbed fourth-order nonlinear ordinary differential equations, parametrized by an external parameter (in addition to the small parameter of the perturbations). It is known that in general separatrices will not survive a singular perturbation. However, it was proven by Tovbis and Pelinovsky that there is a discrete set of exceptional valu
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30

Jogia, Danesh Michael Mathematics &amp Statistics Faculty of Science UNSW. "Algebraic aspects of integrability and reversibility in maps." Publisher:University of New South Wales. Mathematics & Statistics, 2008. http://handle.unsw.edu.au/1959.4/40947.

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We study the cause of the signature over finite fields of integrability in two dimensional discrete dynamical systems by using theory from algebraic geometry. In particular the theory of elliptic curves is used to prove the major result of the thesis: that all birational maps that preserve an elliptic curve necessarily act on that elliptic curve as addition under the associated group law. Our result generalises special cases previously given in the literature. We apply this theorem to the specific cases when the ground fields are finite fields of prime order and the function field $mathbb{C}(t
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31

Blom, Jonas. "Topics in dynamical systems : integrability and power control /." Stockholm : Tekniska högsk, 1999. http://www.lib.kth.se/abs99/blom0924.pdf.

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32

MacIntyre, Alistair. "On the integrability of the sine-Gordon system." Thesis, Durham University, 1997. http://etheses.dur.ac.uk/5011/.

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This thesis investigates the integrability of the sine-Gordon system of nonlinear partial differential equations when the dependent variables are subject to some very particular boundary conditions. In chapter 1 the sine-Gordon system is introduced and, with N ϵ Z, P, Q ϵ R, the sets of initial-boundary value problems A(_N) and B(_P,Q) are defined. In the set A(_N) at the spatial variable x is unbounded and the boundary conditions are fixed by initially choosing the topological charge N. This set of problems is the one usually associated with the sine-Gordon system. In the set B(_P,Q) the spat
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33

Alhily, Shatha Sami Sejad. "Higher integrability of the gradient of conformal maps." Thesis, University of Sussex, 2013. http://sro.sussex.ac.uk/id/eprint/45885/.

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34

Alves, Victor César Costa [UNESP]. "Painlevé Integrability and mixed P_III-P_V system solutions." Universidade Estadual Paulista (UNESP), 2017. http://hdl.handle.net/11449/149963.

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Submitted by VICTOR CESAR COSTA ALVES null (victorc@ift.unesp.br) on 2017-03-24T17:06:35Z No. of bitstreams: 1 document.pdf: 511663 bytes, checksum: 1bf722030b47e34e0031fc461efd9f67 (MD5)<br>Approved for entry into archive by Luiz Galeffi (luizgaleffi@gmail.com) on 2017-03-24T20:35:37Z (GMT) No. of bitstreams: 1 alves_vcc_me_ift.pdf: 511663 bytes, checksum: 1bf722030b47e34e0031fc461efd9f67 (MD5)<br>Made available in DSpace on 2017-03-24T20:35:37Z (GMT). No. of bitstreams: 1 alves_vcc_me_ift.pdf: 511663 bytes, checksum: 1bf722030b47e34e0031fc461efd9f67 (MD5) Previous issue date: 2017-02-
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Alves, Victor César Costa. "Painlevé Integrability and mixed P_III-P_V system solutions /." São Paulo, 2017. http://hdl.handle.net/11449/149963.

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Orientador: Abraham Hirsz Zimerman<br>Abstract: The current work aims at applications of mathematical methods of Painlevé integrability in physics, on the other side it also approaches the integrable hierarchies formalism and the 2M-bose model where differential equations methods are used as well as a method for solutions using Padé approximants.<br>Resumo: O presente trabalho trata de um abordagem de aplicações em física dos métodos matemáticos de integrabilidade de Painlevé, por outro lado também aborda o formalismo de hierarquias integráveis e o modelo de 2M-bosons onde são usados métodos d
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36

Pittelli, Antonio. "Dualities and integrability in low dimensional AdS/CFT." Thesis, University of Surrey, 2016. http://epubs.surrey.ac.uk/812577/.

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Scientific abstract In this dissertation we perform a series of study concerning dualities and integrability properties underlying the AdS3/CFT2 and AdS2/CFT1 correspondences. These are particularly interesting because symmetry do not constrain the dynamics of AdS3 and AdS3 superstrings in the same way as in the higher dimensional instances of AdS/CFT, allowing for novel phenomena such as the presence of massless worldsheet modes or non-coset fermions. We will investigate the self-duality of Green–Schwarz supercoset sigma models on AdSd⇥Sd⇥Sd (d = 2, 3), whose isometry supergroups are (d − 1)
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37

Wolf, Martin. "On supertwistor geometry and integrability in super gauge theory." [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=981911811.

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38

Mukanov, Askhat. "Integrability of Fourier transforms, general monotonicity, and related problems." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/463043.

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El propòsit d'aquesta tesi és el d'estudiar les propietats d'integrabilitat i convergència de sèries i transformades de Fourier. Els resultats principals són els següents: 1. Incestiguem les propietats d'integrabilitat de sèries trigonomètriques amb coeficients que satisfan una condició de monotonia general i demostrem resultats del tipus Hardy-Littlewood, és a dir, equivalències entre normes de les sumes de sèries trigonomètriques i normes amb pesos dels seus coeficients de Fourier. Demostrem aquestes equivalències en espais de Lorentz i espais de Lebesgue amb pesos. 2. Estudiem propietats de
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39

Ward, Chloe. "Discrete integrability and nonlinear recurrences with the laurent property." Thesis, University of Kent, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.655224.

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In this thesis we consider four families of nonlinear recurrences which can be shown to either fit into Fomin and Zelevinsky's framework of cluster algebras, or the more general setting of Laurent phenomenon algebras given recently by Lam and Pylyavskyy. It then follows that each family of recurrences we study possesses the Laurent property. Our main interest lies in the linearisability and Liouville integrability of the maps defined by these families. We prove that three of the families are linearisable. Firstly, we study examples arising in the context of cluster algebras and provide a detai
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40

Kagan, David. "Integrability and string theory : σ-models and spin chains". Thesis, University of Cambridge, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613236.

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41

Lesame, William Mphepeng. "A study of integrability conditions for irrotational dust spacetimes." Doctoral thesis, University of Cape Town, 1998. http://hdl.handle.net/11427/21328.

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Bibliography: pages 139-145.<br>This thesis examines consistency conditions for fluid solutions of the field equations of general relativity. The exact non-linear dynamic equations for a generic irrotational dust spacetime are consistent. To analyse conditions characterizing pure gravity waves, linearization instability in general relativity and consistency of the so-called "silent universes", further exact conditions are imposed locally on irrotational dust. These are classified into Class II conditions, which change evolution equations into constraint equations, and Class I and III condition
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Granet, Étienne. "Advanced integrability techniques and analysis for quantum spin chains." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS239.

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Dans cette thèse sont principalement étudiés des systèmes quantiques intégrables critiques avec l’ansatz de Bethe qui ont la propriété particulière d’être non-unitaires ou non-compacts. Ceci concerne des modèles de physique statistique non-locaux tels que la percolation, mais aussi par exemple les systèmes désordonnés. Ce manuscrit présente à la fois des études détaillées de la limite continue de modèles intégrables sur réseau, et développe de nouvelles techniques pour étudier cette correspondance. Dans une première partie nous étudions en détail la limite continue de chaînes de superspins non
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43

Dartois, Stephane. "Random Tensor models : Combinatorics, Geometry, Quantum Gravity and Integrability." Thesis, Sorbonne Paris Cité, 2015. http://www.theses.fr/2015USPCD104/document.

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Dans cette thèse nous explorons différentes facettes des modèles de tenseurs aléatoires. Les modèles de tenseurs aléatoires ont été introduits en physique dans le cadre de l'étude de la gravité quantique. En effet les modèles de matrices aléatoires, qui sont un cas particuliers de modèles de tenseurs, en sont une des origines. Ces modèles de matrices sont connus pour leur riche combinatoire et l'incroyable diversité de leurs propriétés qui les font toucher tous les domaines de l'analyse, la géométrie et des probabilités. De plus leur étude par les physiciens ont prouvé leur efficacité en ce qu
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44

War, Khadim Mbacke. "Integrability of continuous bundles and applications to dynamical systems." Doctoral thesis, SISSA, 2016. http://hdl.handle.net/20.500.11767/4883.

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Auríchio, Vinícius Henrique. "Deformações quase-integráveis do modelo de Bullough-Dodd." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/76/76131/tde-08092014-153357/.

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Esta dissertação investiga uma particular deformação do modelo de Bullough-Dodd. Não se sabe se tais deformações são ou não integráveis, ainda que nossas simulações numéricas apresentem soluções solitônicas. Exploramos o conceito de quase-integrabilidade em mais esse contexto e mostramos um argumento analítico para a quase-conservação das cargas (isto é, as cargas variam com o tempo, mas seus valores inicial e final são os mesmos). Mesmo quando o argumento analítico não pode fazer previsões, nossas simulações mostram que as cargas apresentam o mesmo comportamento. Isso sugere que as deformaçõe
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46

Grosse, Harald, Karl-Georg Schlesinger, and grosse@doppler thp univie ac at. "A Suggestion for an Integrability Notion for Two Dimensional Spin." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1015.ps.

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SCOLERI, STEFANO. "PERTURBATIVE APPROACH TO INTEGRABILITY IN THREE-DIMENSIONAL CHERN-SIMONS THEORIES." Doctoral thesis, Università degli Studi di Milano, 2013. http://hdl.handle.net/2434/217569.

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One of the most fascinating discoveries of contemporary Theoretical Physics is the AdS/CFT correspondence relating gauge theories to gravity theories. Soon after its formulation, tremendous developments allowed to obtain a deep comprehension of the four-dimensional N=4 SYM theory and, in particular, led to the discovery of integrable structures both in the gauge theory itself and in its string counterpart. In the last few years, much attention was devoted to the study of supersymmetric Chern-Simons-matter theories in three dimensions. In this class of theories a distinguished role is played
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Högner, Moritz. "Anti-self-dual fields and manifolds." Thesis, University of Cambridge, 2013. https://www.repository.cam.ac.uk/handle/1810/244668.

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In this thesis we study anti–self–duality equations in four and eight dimensions on manifolds of special Riemannian holonomy, among these hyper–Kähler, Quaternion–Kähler and Spin(7)–manifolds. We first consider the octonionic anti–self–duality equations on manifolds with holonomy Spin(7). We construct explicit solutions to their symmetry reductions, the non–abelian Seiberg–Witten equations, with gauge group SU(2). These solutions are singular for flat and Eguchi–Hanson backgrounds, however we find a solution on a co–homogeneity one hyper–Kähler metric with a domain wall, and the solution is re
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Simon, i. Estrada Sergi. "On the Meromorphic Non-Integrability of Some Problems in Celestial Mechanics." Doctoral thesis, Universitat de Barcelona, 2007. http://hdl.handle.net/10803/2110.

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In this thesis, we present a proof of the meromorphic non-integrability for some problems arising from Celestial Mechanics, as well as a new necessary condition for partial integrability in a wider Hamiltonian setting. First of all, a simpler proof is added to those already existing for the Three-Body Problem with arbitrary masses. The N-Body Problem with equal masses is also proven non-integrable. Second of all, a further strengthening of a prior existing result allows us to detect obstructions to the existence of a single additional first integral for classical Hamiltonians with a homogeneou
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Santallusia, Esvert Xavier. "Contribution to the center and integrability problems in planar vector fields." Doctoral thesis, Universitat de Lleida, 2017. http://hdl.handle.net/10803/402941.

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Aquesta tesi consta d'un primer capítol introductori, set capítols amb diferents resultats i una bibliografia. El primer capítol conté la definició i els resultats previs necessaris per abordar la resta de la memòria. El capítol 2 i 3 estan molt relacionats. En el primer es descriu un mètode alternatiu per al còmput de les constants de Poincaré--Liapunov. A diferència de mètodes anteriors, el mètode presentat no requereix el càlcul d'integrals i d'ona de forma explícita les constants de Poincaré--Liapunov. En el tercer capítol es descriu com s'ha implementat aquest nou mètode i els resultat
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