Search results for: recent-advances-in-topological-dynamics

Recent Advances in Topological Dynamics

Author : A. Beck
File Size : 60.29 MB
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Recent Advances in Topological Dynamics

Author : Anatole Beck
File Size : 69.58 MB
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Recent Advances in Topological Dynamics

Author : A. Beck
File Size : 87.83 MB
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RECENT ADVANCES IN TOPOLOGICAL DYNAMICS PROCEEDINGS OF A CONFERENCE

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Recent Advances in Topological Dynamics

Author : Yale University
File Size : 45.29 MB
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Recent Advances in Operator Theory and Operator Algebras

Author : Hari Bercovici
File Size : 69.47 MB
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This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.

Recent advances in topological dynamics

Author : Anatole Beck
File Size : 47.98 MB
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Topological Theory of Dynamical Systems

Author : N. Aoki
File Size : 88.72 MB
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This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments. This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of general topology. To follow it, the book provides an adequate foundation for topological theory of dynamical systems, and contains tools which are sufficiently powerful throughout the book. Graduate students (and some undergraduates) with sufficient knowledge of basic general topology, basic topological dynamics, and basic algebraic topology will find little difficulty in reading this book.

Ergodic Theory and Topological Dynamics

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Ergodic Theory and Topological Dynamics

Recurrence in Topological Dynamics

Author : Ethan Akin
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In the long run of a dynamical system, after transient phenomena have passed away, what remains is recurrence. An orbit is recurrent when it returns repeatedly to each neighborhood of its initial position. We can sharpen the concept by insisting that the returns occur with at least some prescribed frequency. For example, an orbit lies in some minimal subset if and only if it returns almost periodically to each neighborhood of the initial point. That is, each return time set is a so-called syndetic subset ofT= the positive reals (continuous time system) or T = the positive integers (discrete time system). This is a prototype for many of the results in this book. In particular, frequency is measured by membership in a family of subsets of the space modeling time, in this case the family of syndetic subsets of T. In applying dynamics to combinatorial number theory, Furstenberg introduced a large number of such families. Our first task is to describe explicitly the calculus of families implicit in Furstenberg's original work and in the results which have proliferated since. There are general constructions on families, e. g. , the dual of a family and the product of families. Other natural constructions arise from a topology or group action on the underlying set. The foundations are laid, in perhaps tedious detail, in Chapter 2. The family machinery is then applied in Chapters 3 and 4 to describe family versions of recurrence, topological transitivity, distality and rigidity.