Lectures On Ergodic Theory

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Lectures On Ergodic Theory

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Author : Paul Richard Halmos
language : en
Publisher: American Mathematical Soc.
Release Date : 1956

Lectures On Ergodic Theory written by Paul Richard Halmos 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 1956 with Mathematics categories.

This classic book is based on lectures given by the author at the University of Chicago in 1956. The topics covered include, in particular, recurrence, the ergodic theorems, and a general discussion of ergodicity and mixing properties. There is also a general discussion of the relation between conjugacy and equivalence. With minimal prerequisites of some analysis and measure theory, this work can be used for a one-semester course in ergodic theory or for self-study.

Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds

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Author : Mark Pollicott
language : en
Publisher: Cambridge University Press
Release Date : 1993-02-04

Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds written by Mark Pollicott 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 1993-02-04 with Mathematics categories.

These lecture notes provide a unique introduction to Pesin theory and its applications.

Recurrence In Ergodic Theory And Combinatorial Number Theory

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Author : Harry Furstenberg
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14

Recurrence In Ergodic Theory And Combinatorial Number Theory written by Harry Furstenberg and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Mathematics categories.

Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Equilibrium States And The Ergodic Theory Of Anosov Diffeomorphisms

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Author : Robert Edward Bowen
language : en
Publisher: Springer
Release Date : 2008-04-04

Equilibrium States And The Ergodic Theory Of Anosov Diffeomorphisms written by Robert Edward Bowen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-04 with Mathematics categories.

For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have been proved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems."

Lectures On Ergodic Theory

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Author : Paul Richard Halmos (Mathematician, Hungary, United States)
language : en
Publisher:
Release Date : 1956

Lectures On Ergodic Theory written by Paul Richard Halmos (Mathematician, Hungary, United States) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with categories.

Ergodic Theory Introductory Lectures

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Author : P. Walters
language : en
Publisher:
Release Date : 2014-01-15

Ergodic Theory Introductory Lectures written by P. Walters 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.

Fourier Integral Operators And Partial Differential Equations

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Author : Peter Walters
language : en
Publisher:
Release Date : 1975

Fourier Integral Operators And Partial Differential Equations written by Peter Walters and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Differential equations, Partial categories.

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.

Lectures On Mechanics

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Author : Jerrold E. Marsden
language : en
Publisher: Cambridge University Press
Release Date : 1992-04-30

Lectures On Mechanics written by Jerrold E. Marsden 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 1992-04-30 with Mathematics categories.

Based on the 1991 LMS Invited Lectures given by Professor Marsden, this book discusses and applies symmetry methods to such areas as bifurcations and chaos in mechanical systems.

Ergodic Theory And Fractal Geometry

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Author : Hillel Furstenberg
language : en
Publisher: American Mathematical Society
Release Date : 2014-08-08

Ergodic Theory And Fractal Geometry written by Hillel Furstenberg and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-08 with Mathematics categories.

Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that "straighten out" under magnification. Fractals, which take their name from the shape of fractured objects, can be characterized as retaining their lack of smoothness under magnification. The properties of fractals come to light under repeated magnification, which we refer to informally as "zooming in". This zooming-in process has its parallels in dynamics, and the varying "scenery" corresponds to the evolution of dynamical variables. The present monograph focuses on applications of one branch of dynamics--ergodic theory--to the geometry of fractals. Much attention is given to the all-important notion of fractal dimension, which is shown to be intimately related to the study of ergodic averages. It has been long known that dynamical systems serve as a rich source of fractal examples. The primary goal in this monograph is to demonstrate how the minute structure of fractals is unfolded when seen in the light of related dynamics. A co-publication of the AMS and CBMS.