Contributions To Ergodic Theory And Probability
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Contributions To Ergodic Theory And Probability
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Author :
language : en
Publisher: Springer
Release Date : 2006-11-15
Contributions To Ergodic Theory And Probability written by and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Contributions To Ergodic Theory And Probability
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Author : Springer
language : en
Publisher:
Release Date : 2014-01-15
Contributions To Ergodic Theory And Probability written by Springer 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.
Contributions To Ergodic Theory And Probability
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Author : Midwestern Conference on Ergodic Theory Staff
language : en
Publisher:
Release Date : 1970-11
Contributions To Ergodic Theory And Probability written by Midwestern Conference on Ergodic Theory Staff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970-11 with Mathematics categories.
Contributions To Ergodic Theory And Probability Proceedings Of The 1st Midwestern Conference On Ergodic Theory Ohio State University 1970
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Author : Midwestern Conference on Ergodic Theory
language : en
Publisher:
Release Date : 1970
Contributions To Ergodic Theory And Probability Proceedings Of The 1st Midwestern Conference On Ergodic Theory Ohio State University 1970 written by Midwestern Conference on Ergodic Theory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Contributions To Ergodic Theory And Probability Proceedings 1st Midwestern Conference On Ergodic Theory Lecture Notes In Mathematics
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Author :
language : en
Publisher:
Release Date :
Contributions To Ergodic Theory And Probability Proceedings 1st Midwestern Conference On Ergodic Theory Lecture Notes In Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Ergodic Theory
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Author : Cesar E. Silva
language : en
Publisher: Springer Nature
Release Date : 2023-07-31
Ergodic Theory written by Cesar E. Silva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-31 with Mathematics categories.
This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems. It enlightens connections of ergodic theory with symbolic dynamics, topological dynamics, smooth dynamics, combinatorics, number theory, pressure and equilibrium states, fractal geometry, chaos. In addition, the new edition includes dynamical systems of probabilistic origin, ergodic aspects of Sarnak's conjecture, translation flows on translation surfaces, complexity and classification of measurable systems, operator approach to asymptotic properties, interplay with operator algebras
Ergodic Theory
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Author : Karl E. Petersen
language : en
Publisher: Cambridge University Press
Release Date : 1989-11-23
Ergodic Theory written by Karl E. Petersen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-11-23 with Mathematics categories.
The study of dynamical systems forms a vast and rapidly developing field even when one considers only activity whose methods derive mainly from measure theory and functional analysis. Karl Petersen has written a book which presents the fundamentals of the ergodic theory of point transformations and then several advanced topics which are currently undergoing intense research. By selecting one or more of these topics to focus on, the reader can quickly approach the specialized literature and indeed the frontier of the area of interest. Each of the four basic aspects of ergodic theory - examples, convergence theorems, recurrence properties, and entropy - receives first a basic and then a more advanced, particularized treatment. At the introductory level, the book provides clear and complete discussions of the standard examples, the mean and pointwise ergodic theorems, recurrence, ergodicity, weak mixing, strong mixing, and the fundamentals of entropy. Among the advanced topics are a thorough treatment of maximal functions and their usefulness in ergodic theory, analysis, and probability, an introduction to almost-periodic functions and topological dynamics, a proof of the Jewett-Krieger Theorem, an introduction to multiple recurrence and the Szemeredi-Furstenberg Theorem, and the Keane-Smorodinsky proof of Ornstein's Isomorphism Theorem for Bernoulli shifts. The author's easily-readable style combined with the profusion of exercises and references, summaries, historical remarks, and heuristic discussions make this book useful either as a text for graduate students or self-study, or as a reference work for the initiated.
The Ergodic Theory Of Discrete Sample Paths
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Author : Paul C. Shields
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
The Ergodic Theory Of Discrete Sample Paths written by Paul C. Shields 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 1996 with Mathematics categories.
This book is about finite-alphabet stationary processes, which are important in physics, engineering, and data compression. The focus is on the combinatorial properties of typical finite sample paths drawn from a stationary, ergodic process. A primary goal, only partially realized, is to develop a theory based directly on sample path arguments with minimal appeals to the probability formalism. A secondary goal is to give a careful presentation of the many models for stationary finite-alphabet processes that have been developed in probability theory, ergodic theory, and information theory.
Contributions To Ergodic Theory And Probability
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Author :
language : en
Publisher:
Release Date : 1970
Contributions To Ergodic Theory And Probability written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Ergodic theory categories.
An Introduction To Infinite Ergodic Theory
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Author : Jon Aaronson
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
An Introduction To Infinite Ergodic Theory written by Jon Aaronson 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 1997 with Mathematics categories.
Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. The book focuses on properties specific to infinite measure preserving transformations. The work begins with an introduction to basic nonsingular ergodic theory, including recurrence behaviour, existence of invariant measures, ergodic theorems, and spectral theory. A wide range of possible "ergodic behaviour" is catalogued in the third chapter mainly according to the yardsticks of intrinsic normalizing constants, laws of large numbers, and return sequences. The rest of the book consists of illustrations of these phenomena, including Markov maps, inner functions, and cocycles and skew products. One chapter presents a start on the classification theory.