Symbolic Dynamics And Hyperbolic Groups
DOWNLOAD
READ ONLINE
Download Symbolic Dynamics And Hyperbolic Groups PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Symbolic Dynamics And Hyperbolic Groups book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Symbolic Dynamics And Hyperbolic Groups
DOWNLOAD
READ ONLINE
Author : Michel Coornaert
language : en
Publisher: Springer
Release Date : 2006-11-14
Symbolic Dynamics And Hyperbolic Groups written by Michel Coornaert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Gromov's theory of hyperbolic groups have had a big impact in combinatorial group theory and has deep connections with many branches of mathematics suchdifferential geometry, representation theory, ergodic theory and dynamical systems. This book is an elaboration on some ideas of Gromov on hyperbolic spaces and hyperbolic groups in relation with symbolic dynamics. Particular attention is paid to the dynamical system defined by the action of a hyperbolic group on its boundary. The boundary is most oftenchaotic both as a topological space and as a dynamical system, and a description of this boundary and the action is given in terms of subshifts of finite type. The book is self-contained and includes two introductory chapters, one on Gromov's hyperbolic geometry and the other one on symbolic dynamics. It is intended for students and researchers in geometry and in dynamical systems, and can be used asthe basis for a graduate course on these subjects.
Symbolic Dynamics And Hyperbolic Groups
DOWNLOAD
READ ONLINE
Author : Michel Coornaert
language : en
Publisher:
Release Date : 2014-01-15
Symbolic Dynamics And Hyperbolic Groups written by Michel Coornaert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Ergodic Theory Symbolic Dynamics And Hyperbolic Spaces
DOWNLOAD
READ ONLINE
Author : T. Bedford
language : en
Publisher: Oxford University Press, USA
Release Date : 1991
Ergodic Theory Symbolic Dynamics And Hyperbolic Spaces written by T. Bedford and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Ergodic theory categories.
Groups And Topological Dynamics
DOWNLOAD
READ ONLINE
Author : Volodymyr Nekrashevych
language : en
Publisher: American Mathematical Society
Release Date : 2022-10-11
Groups And Topological Dynamics written by Volodymyr Nekrashevych and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-11 with Mathematics categories.
This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to study symbolic dynamics, and other connections between group theory and dynamical systems. One of the main applications of this approach to group theory is the study of asymptotic properties of groups such as growth and amenability. The book presents recently developed techniques of studying groups of dynamical origin using the structure of their orbits and associated groupoids of germs, applications of the iterated monodromy groups to hyperbolic dynamical systems, topological full groups and their properties, amenable groups, groups of intermediate growth, and other topics. The book is suitable for graduate students and researchers interested in group theory, transformations defined by automata, topological and holomorphic dynamics, and theory of topological groupoids. Each chapter is supplemented by exercises of various levels of complexity.
Topological Dimension And Dynamical Systems
DOWNLOAD
READ ONLINE
Author : Michel Coornaert
language : en
Publisher: Springer
Release Date : 2015-06-20
Topological Dimension And Dynamical Systems written by Michel Coornaert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-20 with Mathematics categories.
Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems into shifts. A large number of revisions and additions have been made to the original text. Chapter 5 contains an entirely new section devoted to the Sorgenfrey line. Two chapters have also been added: Chapter 9 on amenable groups and Chapter 10 on mean topological dimension for continuous actions of countable amenable groups. These new chapters contain material that have never before appeared in textbook form. The chapter on amenable groups is based on Følner’s characterization of amenability and may be read independently from the rest of the book. Although the contents of this book lead directly to several active areas of current research in mathematics and mathematical physics, the prerequisites needed for reading it remain modest; essentially some familiarities with undergraduate point-set topology and, in order to access the final two chapters, some acquaintance with basic notions in group theory. Topological Dimension and Dynamical Systems is intended for graduate students, as well as researchers interested in topology and dynamical systems. Some of the topics treated in the book directly lead to research areas that remain to be explored.
Symbolic Dynamics
DOWNLOAD
READ ONLINE
Author : Marston Morse
language : en
Publisher:
Release Date : 1966
Symbolic Dynamics written by Marston Morse and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Geometry, Projective categories.
Dynamics Of Discrete Group Action
DOWNLOAD
READ ONLINE
Author : Boris N. Apanasov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-22
Dynamics Of Discrete Group Action written by Boris N. Apanasov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-22 with Mathematics categories.
Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric group theory, to geometric analysis including classical questions from function theory.
Group Colorings And Bernoulli Subflows
DOWNLOAD
READ ONLINE
Author : Su Gao
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-04-26
Group Colorings And Bernoulli Subflows written by Su Gao and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-26 with Bernoulli numbers categories.
In this paper the authors study the dynamics of Bernoulli flows and their subflows over general countable groups. One of the main themes of this paper is to establish the correspondence between the topological and the symbolic perspectives. From the topological perspective, the authors are particularly interested in free subflows (subflows in which every point has trivial stabilizer), minimal subflows, disjointness of subflows, and the problem of classifying subflows up to topological conjugacy. Their main tool to study free subflows will be the notion of hyper aperiodic points; a point is hyper aperiodic if the closure of its orbit is a free subflow.
Encyclopedia Of Nonlinear Science
DOWNLOAD
READ ONLINE
Author : Alwyn Scott
language : en
Publisher: Routledge
Release Date : 2006-05-17
Encyclopedia Of Nonlinear Science written by Alwyn Scott and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-17 with Reference categories.
In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.
Symbolic Dynamics
DOWNLOAD
READ ONLINE
Author : Bruce P. Kitchens
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Symbolic Dynamics written by Bruce P. Kitchens and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Nearly one hundred years ago Jacques Hadamard used infinite sequences of symbols to analyze the distribution of geodesics on certain surfaces. That was the beginning of symbolic dynamics. In the 1930's and 40's Arnold Hedlund and Marston Morse again used infinite sequences to investigate geodesics on surfaces of negative curvature. They coined the term symbolic dynamics and began to study sequence spaces with the shift transformation as dynamical systems. In the 1940's Claude Shannon used sequence spaces to describe infor mation channels. Since that time symbolic dynamics has been used in ergodic theory, topological dynamics, hyperbolic dynamics, information theory and complex dynamics. Symbolic dynamical systems with a finite memory are stud ied in this book. They are the topological Markov shifts. Each can be defined by transition rules and the rules can be summarized by a transition matrix. The study naturally divides into two parts. The first part is about topological Markov shifts where the alphabet is finite. The second part is concerned with topological Markov shifts whose alphabet is count ably infinite. The techniques used in the two cases are quite different. When the alphabet is finite most of the methods are combinatorial or algebraic. When the alphabet is infinite the methods are much more analytic. This book grew from notes for a graduate course taught at Wesleyan Uni versity in the fall of 1994 and is intended as a graduate text and as a reference book for mathematicians working in related fields.