Relevant bibliographies by topics / Operador de Ruelle

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Academic literature on the topic 'Operador de Ruelle'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Operador de Ruelle"

1

YE, YUAN-LING. "Ruelle operator with weakly contractive iterated function systems." Ergodic Theory and Dynamical Systems 33, no. 4 (2012): 1265–90. http://dx.doi.org/10.1017/s0143385712000211.

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AbstractThe Ruelle operator has been studied extensively both in dynamical systems and iterated function systems (IFSs). Given a weakly contractive IFS $(X, \{w_j\}_{j=1}^m)$ and an associated family of positive continuous potential functions $\{p_j\}_{j=1}^m$, a triple system $(X, \{w_j\}_{j=1}^m, \{p_j\}_{j=1}^m)$is set up. In this paper we study Ruelle operators associated with the triple systems. The paper presents an easily verified condition. Under this condition, the Ruelle operator theorem holds provided that the potential functions are Dini continuous. Under the same condition, the Ru
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2

JIANG, YUNPING, and YUAN-LING YE. "Ruelle operator theorem for non-expansive systems." Ergodic Theory and Dynamical Systems 30, no. 2 (2009): 469–87. http://dx.doi.org/10.1017/s014338570900025x.

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AbstractThe Ruelle operator theorem has been studied extensively both in dynamical systems and iterated function systems. In this paper we study the Ruelle operator theorem for non-expansive systems. Our theorems give some sufficient conditions for the Ruelle operator theorem to be held for a non-expansive system.
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3

Bessa, Mário, and Manuel Stadlbauer. "On the Lyapunov spectrum of relative transfer operators." Stochastics and Dynamics 16, no. 06 (2016): 1650024. http://dx.doi.org/10.1142/s0219493716500246.

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We analyze the Lyapunov spectrum of the relative Ruelle operator associated with a skew product whose base is an ergodic automorphism and whose fibers are full shifts. We prove that these operators can be approximated in the [Formula: see text]-topology by positive matrices with an associated dominated splitting.
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4

Cioletti, L., and A. O. Lopes. "Correlation inequalities and monotonicity properties of the Ruelle operator." Stochastics and Dynamics 19, no. 06 (2019): 1950048. http://dx.doi.org/10.1142/s0219493719500485.

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In this paper, we provide sufficient conditions for the validity of the FKG Inequality, on Thermodynamic Formalism setting, for a class of eigenmeasures of the dual of the Ruelle operator. We use this correlation inequality to study the maximal eigenvalue problem for the Ruelle operator associated to low regular potentials. As an application, we obtain explicit upper bounds for the main eigenvalue (consequently, for the pressure) of the Ruelle operator associated to Ising models with a power law decay interaction energy.
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5

Giulietti, P., A. O. Lopes, and V. Pit. "Duality between eigenfunctions and eigendistributions of Ruelle and Koopman operators via an integral kernel." Stochastics and Dynamics 16, no. 03 (2016): 1660011. http://dx.doi.org/10.1142/s021949371660011x.

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We consider the classical dynamics given by a one-sided shift on the Bernoulli space of [Formula: see text] symbols. We study, on the space of Hölder functions, the eigendistributions of the Ruelle operator with a given potential. Our main theorem shows that for any isolated eigenvalue, the eigendistributions of such Ruelle operator are dual to eigenvectors of a Ruelle operator with a conjugate potential. We also show that the eigenfunctions and eigendistributions of the Koopman operator satisfy a similar relationship. To show such results we employ an integral kernel technique, where the kern
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6

Fan, Aihua, and Yunping Jiang. "On Ruelle-Perron-Frobenius Operators.¶I. Ruelle Theorem." Communications in Mathematical Physics 223, no. 1 (2001): 125–41. http://dx.doi.org/10.1007/s002200100538.

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7

Tasaki, S. "On Prigogine's approaches to irreversibility: a case study by the baker map." Discrete Dynamics in Nature and Society 2004, no. 1 (2004): 251–72. http://dx.doi.org/10.1155/s1026022604312069.

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The baker map is investigated by two different theories of irreversibility by Prigogine and his colleagues, namely, theΛ-transformation and complex spectral theories, and their structures are compared. In both theories, the evolution operatorU†of observables (the Koopman operator) is found to acquire dissipativityby restrictingobservables to an appropriate subspaceΦof the Hilbert spaceL2of square integrable functions. Consequently, its spectral set contains an annulus in the unit disc. However, the two theories are not equivalent. In theΛ-transformation theory, a bijective mapΛ†−1:Φ→L2is looke
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8

Stoyanov, Luchezar. "On Gibbs Measures and Spectra of Ruelle Transfer Operators." Canadian Mathematical Bulletin 60, no. 2 (2017): 411–21. http://dx.doi.org/10.4153/cmb-2016-073-2.

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AbstractWe prove a comprehensive version of the Ruelle–Perron–Frobenius Theorem with explicit estimates of the spectral radius of the Ruelle transfer operator and various other quantities related to spectral properties of this operator. The novelty here is that the Hölder constant of the function generating the operator appears only polynomially, not exponentially as in previously known estimates.
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9

Lau, Ka-Sing, and Yuan-Ling Ye. "Ruelle operator with nonexpansive IFS." Studia Mathematica 148, no. 2 (2001): 143–69. http://dx.doi.org/10.4064/sm148-2-4.

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10

Ye, Yuan-Ling. "Vector-valued Ruelle operators." Journal of Mathematical Analysis and Applications 299, no. 2 (2004): 341–56. http://dx.doi.org/10.1016/j.jmaa.2004.02.058.

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Dissertations / Theses on the topic "Operador de Ruelle"

1

Maciel, Anderson Luiz. "Operador de Ruelle-Perron-Frobenius e transformações expansoras." Florianópolis, SC, 2005. http://repositorio.ufsc.br/handle/123456789/102842.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas. Programa de Pós-Graduação em Matemática e Computação Científica<br>Made available in DSpace on 2013-07-16T02:04:36Z (GMT). No. of bitstreams: 1 214229.pdf: 561306 bytes, checksum: 48d87d8e64959fb4cde891b56d232b7d (MD5)<br>Seja T uma aplicação expansora em um espaço métrico compacto X. Demonstramos o teorema de Ruelle para potenciais na classe de Schwarz, que é uma classe um pouco mais geral do que a classicamente analisada (apenas Hölder). A demonstração de alguns itens do teorema de Ruel
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2

Silva, Eduardo Antonio da. "O operador de Ruelle em espaços de estados compactos." reponame:Repositório Institucional da UnB, 2016. http://repositorio.unb.br/handle/10482/21440.

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Tese (doutorado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2016.<br>Submitted by Fernanda Percia França (fernandafranca@bce.unb.br) on 2016-09-01T16:59:17Z No. of bitstreams: 1 2016_EduardoAntoniodaSilva.pdf: 1162162 bytes, checksum: 887586e0c400186ae54917d61bc23236 (MD5)<br>Approved for entry into archive by Raquel Viana(raquelviana@bce.unb.br) on 2016-09-19T16:05:57Z (GMT) No. of bitstreams: 1 2016_EduardoAntoniodaSilva.pdf: 1162162 bytes, checksum: 887586e0c400186ae54917d61bc23236 (MD5)<br>Made available in DSpace on 2016-09-19T16:05:57Z (GMT). No.
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Busato, Luisa Bürgel. "Operador de Rulle para cadeias de Markov a tempo Contínuo." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2018. http://hdl.handle.net/10183/174796.

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Este trabalho divide-se em três partes. Na primeira parte fazemos uma breve descrição de cadeias de Markov a tempo discreto e tempo contínuo. Na segunda parte, seguindo o artigo [5], introduzimos o formalismo termodinâmico no espaço de Bernoulli com símbolos dados em um espaço métrico compacto, generalizando a teoria usual onde o espaço de estados é finito. Após, seguindo o artigo [1], introduziremos uma versão do Operador de Ruelle para cadeias de Markov a tempo contínuo. Ainda, a partir de uma função V que funcionará como uma perturbação, definiremos um operador de Ruelle modificado e, para
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4

Barchinski, Lucas Spillere. "S-convolução e o operador de transferência generalizado." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2016. http://hdl.handle.net/10183/150699.

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Nesta tese apresentamos uma variação do conceito de convolução de medidas. Tratase da S-convolução, uma operação derivada da convolução usual, porém não-associativa e não-comutativa. Exploramos suas principais propriedades e suas relações com caracteres do grupo (Z=pZ)N. Utilizando tais relações, diagonalizamos algumas matrizes Bloco-Hankel. Na segunda parte da tese, de nimos o operador de transferência generalizado, inspirados na de nição de subshift generalizado desenvolvida, por exemplo, nos trabalhos de Gromov em [5] e de Friedland em [3]. Nesse contexto, provamos o Teorema de Ruelle-Perro
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Bispo, Sara Ruth Pires. "Medidas conformes -finitas e o teorema de Ruelle para extensões por grupos." Instituto de Matemática. Departamento de Matemática, 2014. http://repositorio.ufba.br/ri/handle/ri/19475.

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Submitted by Mayara Nascimento (mayara.nascimento@ufba.br) on 2016-06-08T12:44:12Z No. of bitstreams: 1 dissertação_v4 - Sara Ruth.pdf: 864664 bytes, checksum: 9c2f39642abe743c08a9bef2a08b0a3d (MD5)<br>Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-13T17:33:25Z (GMT) No. of bitstreams: 1 dissertação_v4 - Sara Ruth.pdf: 864664 bytes, checksum: 9c2f39642abe743c08a9bef2a08b0a3d (MD5)<br>Made available in DSpace on 2016-06-13T17:33:25Z (GMT). No. of bitstreams: 1 dissertação_v4 - Sara Ruth.pdf: 864664 bytes, checksum: 9c2f39642abe743c08a9bef2a08b0a3d (MD5)<br>Ne
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Mengue, Jairo Krás. "Zeta-medidas e princípio dos grandes desvios." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2010. http://hdl.handle.net/10183/26002.

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Seguindo os trabalhos de William Parry e Mark Pollicott, analisamos expressões de funções zeta dinâmicas e construímos probabilidades envolvendo somas em órbitas periódicas, que chamamos de zeta-medidas. Mostramos que as zeta-medidas são ferramentas úteis para aproximar o equilíbrio de um potencial Holder e que podem ser usadas para aproximar a probabilidade maximizante. Para alguns casos, mostramos que esta convergência satisfaz um princípio dos grandes desvios sem assumir unicidade da probabilidade maximizante. Como as iterações do Operador de Ruelle podem ser usadas para aproximar o equilíb
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Rodrigues, Carlos Felipe Lardizábal. "Processos estocásticos quânticos." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2010. http://hdl.handle.net/10183/19199.

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Neste trabalho formulamos uma versão do princípio variacional de pressão no contexto de operadores densidade em mecânica quântica. Tal princípio relaciona um potencial e um conceito de entropia, que é induzido por um sistema de funções iteradas quântico (QIFS), de forma análoga ao que é feito em formalismo termodinâmico com a entropia métrica do operador shift e um potencial contínuo. Iremos definir um conceito de processo estocástico quântico induzido por tais QIFS de forma natural, e faremos considerações sobre funções de Wigner discretas e certos canais quânticos obtidos no nosso contexto.<
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8

Rocha, Elaine. "Uma extensão do critério de Kesten sobre amenidade para cadeias de Markov Topológicas." Instituto de Matemática . Departamento de Matemática, 2013. http://repositorio.ufba.br/ri/handle/ri/19414.

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Submitted by Marcio Filho (marcio.kleber@ufba.br) on 2016-06-07T13:33:35Z No. of bitstreams: 1 Elaine. dissert.pdf: 1716917 bytes, checksum: 3bcc486c4434f5f455bed40b303d69a4 (MD5)<br>Approved for entry into archive by Uillis de Assis Santos (uillis.assis@ufba.br) on 2016-06-07T18:40:43Z (GMT) No. of bitstreams: 1 Elaine. dissert.pdf: 1716917 bytes, checksum: 3bcc486c4434f5f455bed40b303d69a4 (MD5)<br>Made available in DSpace on 2016-06-07T18:40:43Z (GMT). No. of bitstreams: 1 Elaine. dissert.pdf: 1716917 bytes, checksum: 3bcc486c4434f5f455bed40b303d69a4 (MD5)<br>Neste trabalho estudamos o t
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"Ruelle transfer operator and its applications." 2011. http://library.cuhk.edu.hk/record=b5894651.

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Li, Yong.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2011.<br>Includes bibliographical references (p. 58-60).<br>Abstracts in English and Chinese.<br>Chapter 1 --- Introduction --- p.1<br>Chapter 2 --- "Entropy, Pressure and Variational Principle" --- p.4<br>Chapter 2.1 --- Entropy --- p.5<br>Chapter 2.1.1 --- Entropy of a Partition --- p.5<br>Chapter 2.1.2 --- Conditional Entropy --- p.6<br>Chapter 2.1.3 --- Entropy of a Measure-Preserving Transformation --- p.7<br>Chapter 2.2 --- Topological Pressure --- p.9<br>Chapter 3 --- Ruelle Operator Theorem --- p.11<br>Chapter 3.1
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10

"Ruelle operator with weakly contractive maps." 2000. http://library.cuhk.edu.hk/record=b6073266.

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by Ye Yuanling.<br>"August 2000."<br>Thesis (Ph.D.)--Chinese University of Hong Kong, 2000.<br>Includes bibliographical references (p. 82-85).<br>Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.<br>Mode of access: World Wide Web.<br>Abstracts in English and Chinese.
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Books on the topic "Operador de Ruelle"

1

Scattering resonances for several small convex bodies and the Lax-Phillips conjecture. American Mathematical Society, 2009.

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2

Ruelle Operators: Functions Which Are Harmonic With Respect to a Transfer Operator (Memoirs of the American Mathematical Society). American Mathematical Society, 2001.

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