Topological Dynamics Of Enveloping Semigroups

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

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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 : Alan Moran
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.98/5 ( download)

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Download or read book Topological Dynamics written by Alan Moran and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Angela Köhler
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.77/5 ( download)

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Download or read book Enveloping semigroups in operator theory and topological dynamics written by Angela Köhler and published by . This book was released on 1994 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ethan Akin
Publisher : Springer Science & Business Media
ISBN 13 : 9780306455506
Total Pages : 292 pages
Book Rating : 4.01/5 ( download)

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Download or read book Recurrence in Topological Dynamics written by Ethan Akin and published by Springer Science & Business Media. This book was released on 1997-07-31 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking volume is the first to elaborate the theory of set families as a tool for studying the phenomenon of recurrence. The theory is implicit in such seminal works as Hillel Furstenberg's Recurrence in Ergodic Theory and Combinational Number Theory, but Ethan Akin's study elaborates it in detail, defining such elements of theory as: open families of special subsets the unification of several ideas associated with transitivity, ergodicity, and mixing the Ellis theory of enveloping semigroups for compact dynamical systems and new notions of equicontinuity, distality, and rigidity.

Author : Hsin Chu
Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.47/5 ( download)

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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:

Author : Daniel Eduardo Penazzi
Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.8H/5 ( download)

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Download or read book Groups and Relations in Topological Dynamics written by Daniel Eduardo Penazzi and published by . This book was released on 1993 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : J. de Vries
Publisher : Springer Science & Business Media
ISBN 13 : 9401581711
Total Pages : 762 pages
Book Rating : 4.14/5 ( download)

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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.

Author : M. Husek
Publisher : Elsevier
ISBN 13 : 0080934439
Total Pages : 808 pages
Book Rating : 4.33/5 ( download)

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Download or read book Recent Progress in General Topology written by M. Husek and published by Elsevier. This book was released on 1992-11-20 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: These papers survey the developments in General Topology and the applications of it which have taken place since the mid 1980s. The book may be regarded as an update of some of the papers in the Handbook of Set-Theoretic Topology (eds. Kunen/Vaughan, North-Holland, 1984), which gives an almost complete picture of the state of the art of Set Theoretic Topology before 1984. In the present volume several important developments are surveyed that surfaced in the period 1984-1991. This volume may also be regarded as a partial update of Open Problems in Topology (eds. van Mill/Reed, North-Holland, 1990). Solutions to some of the original 1100 open problems are discussed and new problems are posed.

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

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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 : Robert Ellis
Publisher : American Mathematical Soc.
ISBN 13 : 0821806084
Total Pages : 348 pages
Book Rating : 4.81/5 ( download)

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Download or read book Topological Dynamics and Applications written by Robert Ellis and published by American Mathematical Soc.. This book was released on 1998 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a very readable exposition of the modern theory of topological dynamics and presents diverse applications to such areas as ergodic theory, combinatorial number theory and differential equations. There are three parts: 1) The abstract theory of topological dynamics is discussed, including a comprehensive survey by Furstenberg and Glasner on the work and influence of R. Ellis. Presented in book form for the first time are new topics in the theory of dynamical systems, such as weak almost-periodicity, hidden eigenvalues, a natural family of factors and topological analogues of ergodic decomposition. 2) The power of abstract techniques is demonstrated by giving a very wide range of applications to areas of ergodic theory, combinatorial number theory, random walks on groups and others. 3) Applications to non-autonomous linear differential equations are shown. Exposition on recent results about Floquet theory, bifurcation theory and Lyapanov exponents is given.