Groups and Topological Dynamics

Groups and Topological Dynamics

Author: Volodymyr Nekrashevych

Publisher: American Mathematical Society

Published: 2022-10-11

Total Pages: 708

ISBN-13: 1470471205

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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.


Book Synopsis Groups and Topological Dynamics by : Volodymyr Nekrashevych

Download or read book Groups and Topological Dynamics written by Volodymyr Nekrashevych and published by American Mathematical Society. This book was released on 2022-10-11 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elements of Topological Dynamics

Elements of Topological Dynamics

Author: J. de Vries

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 762

ISBN-13: 9401581711

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This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ' rather than 'Introduction . . . ') does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Ele ments' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible.


Book Synopsis Elements of Topological Dynamics by : J. de Vries

Download or read book Elements of Topological Dynamics written by J. de Vries and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ' rather than 'Introduction . . . ') does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Ele ments' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible.

Topological Dynamics

Topological Dynamics

Author: Walter Helbig Gottschalk

Publisher: American Mathematical Soc.

Published: 1955-01-01

Total Pages: 184

ISBN-13: 9780821874691

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Topological dynamics is the study of transformation groups with respect to those topological properties whose prototype occurred in classical dynamics. In this volume, Part One contains the general theory. Part Two contains notable examples of flows which have contributed to the general theory of topological dynamics and which have in turn have been illuminated by the general theory of topological dynamics.


Book Synopsis Topological Dynamics by : Walter Helbig Gottschalk

Download or read book Topological Dynamics written by Walter Helbig Gottschalk and published by American Mathematical Soc.. This book was released on 1955-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological dynamics is the study of transformation groups with respect to those topological properties whose prototype occurred in classical dynamics. In this volume, Part One contains the general theory. Part Two contains notable examples of flows which have contributed to the general theory of topological dynamics and which have in turn have been illuminated by the general theory of topological dynamics.

Groups and Topological Dynamics

Groups and Topological Dynamics

Author: Volodymyr Nekrashevych

Publisher:

Published: 2022

Total Pages: 0

ISBN-13: 9781470471194

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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.


Book Synopsis Groups and Topological Dynamics by : Volodymyr Nekrashevych

Download or read book Groups and Topological Dynamics written by Volodymyr Nekrashevych and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

Author: M. Bachir Bekka

Publisher: Cambridge University Press

Published: 2000-05-11

Total Pages: 214

ISBN-13: 9780521660303

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This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.


Book Synopsis Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces by : M. Bachir Bekka

Download or read book Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces written by M. Bachir Bekka and published by Cambridge University Press. This book was released on 2000-05-11 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.

Dimension Groups and Dynamical Systems

Dimension Groups and Dynamical Systems

Author: Fabien Durand

Publisher: Cambridge University Press

Published: 2022-02-03

Total Pages: 593

ISBN-13: 1108838685

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This is the first self-contained exposition of the connections between symbolic dynamical systems, dimension groups and Bratteli diagrams.


Book Synopsis Dimension Groups and Dynamical Systems by : Fabien Durand

Download or read book Dimension Groups and Dynamical Systems written by Fabien Durand and published by Cambridge University Press. This book was released on 2022-02-03 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first self-contained exposition of the connections between symbolic dynamical systems, dimension groups and Bratteli diagrams.

Topological Dynamics and Topological Data Analysis

Topological Dynamics and Topological Data Analysis

Author: Robert L. Devaney

Publisher: Springer Nature

Published: 2021-09-23

Total Pages: 278

ISBN-13: 9811601747

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This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9–11 December 2018. The book discusses topics on topological dynamical systems and topological data analysis. Topics are ranging from general topology, algebraic topology, differential topology, fuzzy topology, topological dynamical systems, topological groups, linear dynamics, dynamics of operator network topology, iterated function systems and applications of topology. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. The book is a valuable resource for researchers, scientists and engineers from both academia and industry.


Book Synopsis Topological Dynamics and Topological Data Analysis by : Robert L. Devaney

Download or read book Topological Dynamics and Topological Data Analysis written by Robert L. Devaney and published by Springer Nature. This book was released on 2021-09-23 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9–11 December 2018. The book discusses topics on topological dynamical systems and topological data analysis. Topics are ranging from general topology, algebraic topology, differential topology, fuzzy topology, topological dynamical systems, topological groups, linear dynamics, dynamics of operator network topology, iterated function systems and applications of topology. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. The book is a valuable resource for researchers, scientists and engineers from both academia and industry.

Minimal Sets

Minimal Sets

Author: Walter Helbig Gottschalk

Publisher:

Published: 1958

Total Pages: 54

ISBN-13:

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A survey of some of the results, models, and problems of topological dynamics. For simplicity of presentation, attention is mostly confined to flows.


Book Synopsis Minimal Sets by : Walter Helbig Gottschalk

Download or read book Minimal Sets written by Walter Helbig Gottschalk and published by . This book was released on 1958 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of some of the results, models, and problems of topological dynamics. For simplicity of presentation, attention is mostly confined to flows.

Groups and Semigroups in Topological Dynamics

Groups and Semigroups in Topological Dynamics

Author: Hsin Chu

Publisher:

Published: 1959

Total Pages: 98

ISBN-13:

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Book Synopsis Groups and Semigroups in Topological Dynamics by : Hsin Chu

Download or read book Groups and Semigroups in Topological Dynamics written by Hsin Chu and published by . This book was released on 1959 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Descriptive Set Theory and Dynamical Systems

Descriptive Set Theory and Dynamical Systems

Author: M. Foreman

Publisher: Cambridge University Press

Published: 2000-05-25

Total Pages: 304

ISBN-13: 9780521786447

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This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.


Book Synopsis Descriptive Set Theory and Dynamical Systems by : M. Foreman

Download or read book Descriptive Set Theory and Dynamical Systems written by M. Foreman and published by Cambridge University Press. This book was released on 2000-05-25 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.