Relevant bibliographies by topics / Symbolic dynamics. Topological dynamics

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Academic literature on the topic 'Symbolic dynamics. Topological dynamics'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Dissertations / Theses on the topic "Symbolic dynamics. Topological dynamics"

1

Seward, Brandon Michael Gao Su. "On the density of minimal free subflows of general symbolic flows." [Denton, Tex.] : University of North Texas, 2009. http://digital.library.unt.edu/permalink/meta-dc-11009.

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Cecchi, Bernales Paulina Alejandra. "Invariant measures in symbolic dynamics : a topological, combinatorial and geometrical approach." Thesis, Sorbonne Paris Cité, 2019. https://theses.md.univ-paris-diderot.fr/CECCHI-BERNALES_Paulina_2_complete_20190626.pdf.

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Dans ce travail nous étudions quelques propriétés des systèmes symboliques, avec un accent particulier mis sur le rôle joué par les mesures invariantes de tels systèmes. Nous nous attachons à l'étude des mesures invariantes d'un point de vue topologique, combinatoire et géométrique. Du point de vue topologique, nous nous concentrons sur le problème de l'équivalence orbitale et l'équivalence orbitale forte entre des systèmes dynamiques donnés par des actions minimales de Z, par l'étude d'un invariant algébrique, à savoir, le groupe de dimension dynamique. Notre travail donne une description du
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3

Alcaraz, Barrera Rafael. "Topological and symbolic dynamics of the doubling map with a hole." Thesis, University of Manchester, 2014. https://www.research.manchester.ac.uk/portal/en/theses/topological-and-symbolic-dynamics-of-the-doubling-map-with-a-hole(b6f17b43-5285-4e35-883a-baf4708993bc).html.

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This work motivates the study of open dynamical systems corresponding to the doubling map. In particular, the dynamical properties of the attractor of the doubling map when a symmetric, centred open interval is removed are studied. Using the arithmetical properties of the binary expansion of the points on the boundary of the removed interval, we study properties such as topological transitivity, the specification property and intrinsic ergodicity. The properties of the function that associates to each hole $(a,b)$ the topological entropy of the attractor of the considered dynamical system are
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Pavlov, Ronald Lee. "Some results on recurrence and entropy." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1180454690.

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Seward, Brandon Michael. "On the density of minimal free subflows of general symbolic flows." Thesis, University of North Texas, 2009. https://digital.library.unt.edu/ark:/67531/metadc11009/.

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This paper studies symbolic dynamical systems {0, 1}G, where G is a countably infinite group, {0, 1}G has the product topology, and G acts on {0, 1}G by shifts. It is proven that for every countably infinite group G the union of the minimal free subflows of {0, 1}G is dense. In fact, a stronger result is obtained which states that if G is a countably infinite group and U is an open subset of {0, 1}G, then there is a collection of size continuum consisting of pairwise disjoint minimal free subflows intersecting U.
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Epperlein, Jeremias. "Topological Conjugacies Between Cellular Automata." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-231823.

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We study cellular automata as discrete dynamical systems and in particular investigate under which conditions two cellular automata are topologically conjugate. Based on work of McKinsey, Tarski, Pierce and Head we introduce derivative algebras to study the topological structure of sofic shifts in dimension one. This allows us to classify periodic cellular automata on sofic shifts up to topological conjugacy based on the structure of their periodic points. We also get new conjugacy invariants in the general case. Based on a construction by Hanf and Halmos, we construct a pair of non-homeomorp
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7

Donoso, Sebastian Andres. "Contributions to ergodic theory and topological dynamics : cube structures and automorphisms." Thesis, Paris Est, 2015. http://www.theses.fr/2015PEST1007/document.

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Cette thèse est consacrée à l'étude des différents problèmes liés aux structures des cubes , en théorie ergodique et en dynamique topologique. Elle est composée de six chapitres. La présentation générale nous permet de présenter certains résultats généraux en théorie ergodique et dynamique topologique. Ces résultats, qui sont associés d'une certaine façon aux structures des cubes, sont la motivation principale de cette thèse. Nous commençons par les structures de cube introduites en théorie ergodique par Host et Kra (2005) pour prouver la convergence dans $L^2 $ de moyennes ergodiques multiple
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Kenny, Robert. "Orbit complexity and computable Markov partitions." University of Western Australia. School of Mathematics and Statistics, 2008. http://theses.library.uwa.edu.au/adt-WU2008.0231.

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Markov partitions provide a 'good' mechanism of symbolic dynamics for uniformly hyperbolic systems, forming the classical foundation for the thermodynamic formalism in this setting, and remaining useful in the modern theory. Usually, however, one takes Bowen's 1970's general construction for granted, or restricts to cases with simpler geometry (as on surfaces) or more algebraic structure. This thesis examines several questions on the algorithmic content of (topological) Markov partitions, starting with the pointwise, entropy-like, topological conjugacy invariant known as orbit complexity. The
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9

Maranhão, Dariel Mazzoni. "Estudo topológico de órbitas periódicas no circuito experimental de Chua." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-24032007-174511/.

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Estudamos o comportamento dinâmico de séries temporais experimentais obtidas de um circuito de Chua quando dois parâmetros de controle, $Delta R_1$ e $Delta R_2$, são variados.Investigamos os comportamentos caótico e periódico, analisando as séries temporais ao redor e no interior de duas janelas periódicas presentes no espaço de parâmetros $(Delta R_1,Delta R_2)$ do circuito. Na vizinhança da janela de período três, analisamos como a dinâmica simbólica se altera quando construída em diferentes seções de Poincaré de um mesmo atrator, e investigamos a dimensão dos mapas de retorno, uni ou bi
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Baptista, Diogo Pedro Ferreira Nascimento. "Iteradas de aplicações do plano no plano." Doctoral thesis, Universidade de Évora, 2008. http://hdl.handle.net/10174/12257.

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Neste trabalho estudamos as iteradas de aplicações do plano no plano. Usando as técnicas da dinâmica simbólica em aplicações do plano no plano, tendo sempre por base a teoria de amassamento de Milnor e Thurston e o formalismo da dinâmica simbólica desenvolvido por Sousa Ramos, abordamos diferentes aspectos qualitativos da dinâmica das aplicações de Lozi. Assim, através da dinâmica simbólica introduzida por Yutaka Ishii, começamos por refor-mular a fronteira do espaço dos parâmetros correspondente às aplicações de Lozi equivalentes à ferradura de Smale. No seguimento, apresentamos um método que
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