Automorphisms And Equivalence Relations In Topological Dynamics

Author : David B. Ellis
Publisher : Cambridge University Press
ISBN 13 : 1139952935
Total Pages : 283 pages
Book Rating : 4.34/5 ( download)

DOWNLOAD NOW!

Download or read book Automorphisms and Equivalence Relations in Topological Dynamics written by David B. Ellis and published by Cambridge University Press. This book was released on 2014-06-05 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the role that automorphisms and equivalence relations play in the algebraic theory of minimal sets provides an original treatment of some key aspects of abstract topological dynamics. Such an approach is presented in this lucid and self-contained book, leading to simpler proofs of classical results, as well as providing motivation for further study. Minimal flows on compact Hausdorff spaces are studied as icers on the universal minimal flow M. The group of the icer representing a minimal flow is defined as a subgroup of the automorphism group G of M, and icers are constructed explicitly as relative products using subgroups of G. Many classical results are then obtained by examining the structure of the icers on M, including a proof of the Furstenberg structure theorem for distal extensions. This book is designed as both a guide for graduate students, and a source of interesting new ideas for researchers.

Author : David Ellis
Publisher :
ISBN 13 : 9781139960373
Total Pages : 268 pages
Book Rating : 4.77/5 ( download)

DOWNLOAD NOW!

Download or read book Automorphisms and Equivalence Relations in Topological Dynamics written by David Ellis and published by . This book was released on 2014 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lucid and self-contained treatment of many key ideas in topological dynamics, achieved by focusing on equivalence relations and automorphisms.

Author : David B. Ellis
Publisher : Cambridge University Press
ISBN 13 : 1107633222
Total Pages : 283 pages
Book Rating : 4.23/5 ( download)

DOWNLOAD NOW!

Download or read book Automorphisms and Equivalence Relations in Topological Dynamics written by David B. Ellis and published by Cambridge University Press. This book was released on 2014-06-05 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lucid and self-contained treatment of many key ideas in topological dynamics, achieved by focusing on equivalence relations and automorphisms.

Author : David B. Ellis
Publisher : Cambridge University Press
ISBN 13 : 9781107416253
Total Pages : 268 pages
Book Rating : 4.56/5 ( download)

DOWNLOAD NOW!

Download or read book Automorphisms and Equivalence Relations in Topological Dynamics written by David B. Ellis and published by Cambridge University Press. This book was released on 2014-07-05 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the role that automorphisms and equivalence relations play in the algebraic theory of minimal sets provides an original treatment of some key aspects of abstract topological dynamics. Such an approach is presented in this lucid and self-contained book, leading to simpler proofs of classical results, as well as providing motivation for further study. Minimal flows on compact Hausdorff spaces are studied as icers on the universal minimal flow M. The group of the icer representing a minimal flow is defined as a subgroup of the automorphism group G of M, and icers are constructed explicitly as relative products using subgroups of G. Many classical results are then obtained by examining the structure of the icers on M, including a proof of the Furstenberg structure theorem for distal extensions. This book is designed as both a guide for graduate students, and a source of interesting new ideas for researchers.

Author : Anima Nagar
Publisher : Springer Nature
ISBN 13 : 9811978778
Total Pages : 87 pages
Book Rating : 4.77/5 ( download)

DOWNLOAD NOW!

Download or read book Topological Dynamics of Enveloping Semigroups written by Anima Nagar and published by Springer Nature. This book was released on 2023-01-01 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the theory of enveloping semigroups—an important tool in the field of topological dynamics—introduced by Robert Ellis. The book deals with the basic theory of topological dynamics and touches on the advanced concepts of the dynamics of induced systems and their enveloping semigroups. All the chapters in the book are well organized and systematically dealing with introductory topics through advanced research topics. The basic concepts give the motivation to begin with, then the theory, and finally the new research-oriented topics. The results are presented with detailed proof, plenty of examples and several open questions are put forward to motivate for future research. Some of the results, related to the enveloping semigroup, are new to the existing literature. The enveloping semigroups of the induced systems is considered for the first time in the literature, and some new results are obtained. The book has a research-oriented flavour in the field of topological dynamics.

Author : Roy L. Adler
Publisher : American Mathematical Soc.
ISBN 13 : 0821822195
Total Pages : 90 pages
Book Rating : 4.97/5 ( download)

DOWNLOAD NOW!

Download or read book Topological Entropy and Equivalence of Dynamical Systems written by Roy L. Adler and published by American Mathematical Soc.. This book was released on 1979 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this work is to prove a theorem for topological entropy analogous to Ornstein's result for measure entropy. For this a natural class of dynamical systems is needed to play the same role for topological entropy as the Bernoulli shifts do for measure entropy. Fortunately there is just such a class--the topological Markov shifts. The main result of this paper is that topological entropy along with another number, called the ergodic period, is a complete set of invariants under this new equivalence relation for the class of topological Markov shifts.

Author : Anima Nagar
Publisher : Springer Nature
ISBN 13 : 9811679622
Total Pages : 190 pages
Book Rating : 4.29/5 ( download)

DOWNLOAD NOW!

Download or read book Elements of Dynamical Systems written by Anima Nagar and published by Springer Nature. This book was released on 2022-11-11 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book stems from lectures that were delivered at the three-week Advanced Instructional School on Ergodic Theory and Dynamical Systems held at the Indian Institute of Technology Delhi, from 4–23 December 2017, with the support of the National Centre for Mathematics, National Board for Higher Mathematics, Department of Atomic Energy, Government of India. The book discusses various aspects of dynamical systems. Each chapter of this book specializes in one aspect of dynamical systems and thus begins at an elementary level and goes on to cover fairly advanced material. The book helps researchers be familiar with and navigate through different parts of ergodic theory and dynamical systems.

Author : Kaïs Ammari
Publisher : Cambridge University Press
ISBN 13 : 1108412300
Total Pages : 205 pages
Book Rating : 4.08/5 ( download)

DOWNLOAD NOW!

Download or read book Evolution Equations written by Kaïs Ammari and published by Cambridge University Press. This book was released on 2018 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of a summer school held in 2015 whose theme was long time behavior and control of evolution equations.

Author : Thierry Daudé
Publisher : Cambridge University Press
ISBN 13 : 1108500781
Total Pages : 381 pages
Book Rating : 4.84/5 ( download)

DOWNLOAD NOW!

Download or read book Asymptotic Analysis in General Relativity written by Thierry Daudé and published by Cambridge University Press. This book was released on 2018-01-11 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume compiles notes from courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It provides an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity.

Author : Grant Walker
Publisher : Cambridge University Press
ISBN 13 : 1108414486
Total Pages : 371 pages
Book Rating : 4.87/5 ( download)

DOWNLOAD NOW!

Download or read book Polynomials and the mod 2 Steenrod Algebra written by Grant Walker and published by Cambridge University Press. This book was released on 2017-11-09 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.