Lectures On Ergodic Theory
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Author | : Paul R. Halmos |
Publisher | : Courier Dover Publications |
Total Pages | : 113 |
Release | : 2017-11-15 |
Genre | : Mathematics |
ISBN | : 0486826848 |
Download Lectures on Ergodic Theory Book in PDF, Epub and Kindle
This concise classic by a well-known master of mathematical exposition covers recurrence, ergodic theorems, ergodicity and mixing properties, and the relation between conjugacy and equivalence. 1956 edition.
Author | : Mark Pollicott |
Publisher | : Cambridge University Press |
Total Pages | : 176 |
Release | : 1993-02-04 |
Genre | : Mathematics |
ISBN | : 9780521435932 |
Download Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds Book in PDF, Epub and Kindle
These lecture notes provide a unique introduction to Pesin theory and its applications.
Author | : P. Walters |
Publisher | : Springer |
Total Pages | : 209 |
Release | : 2007-12-03 |
Genre | : Mathematics |
ISBN | : 3540374949 |
Download Ergodic Theory — Introductory Lectures Book in PDF, Epub and Kindle
Author | : Manfred Einsiedler |
Publisher | : Springer Science & Business Media |
Total Pages | : 486 |
Release | : 2010-09-11 |
Genre | : Mathematics |
ISBN | : 0857290215 |
Download Ergodic Theory Book in PDF, Epub and Kindle
This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.
Author | : Peter Walters |
Publisher | : Springer Science & Business Media |
Total Pages | : 268 |
Release | : 2000-10-06 |
Genre | : Mathematics |
ISBN | : 9780387951522 |
Download An Introduction to Ergodic Theory Book in PDF, Epub and Kindle
The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence properties and the Birkhoff ergodic theorem. The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces. Several examples are detailed, and the final chapter outlines results and applications of ergodic theory to other branches of mathematics.
Author | : Harry Furstenberg |
Publisher | : Princeton University Press |
Total Pages | : 216 |
Release | : 2014-07-14 |
Genre | : Mathematics |
ISBN | : 1400855160 |
Download Recurrence in Ergodic Theory and Combinatorial Number Theory Book in PDF, Epub and Kindle
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.
Author | : Karma Dajani |
Publisher | : CRC Press |
Total Pages | : 268 |
Release | : 2021-07-04 |
Genre | : Mathematics |
ISBN | : 1000402770 |
Download A First Course in Ergodic Theory Book in PDF, Epub and Kindle
A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors’ own notes on the subject, which they have been teaching since the 1990s. Over the years they have added topics, theorems, examples and explanations from various sources. The result is a book that is easy to teach from and easy to learn from — designed to require only minimal prerequisites. Features Suitable for readers with only a basic knowledge of measure theory, some topology and a very basic knowledge of functional analysis Perfect as the primary textbook for a course in Ergodic Theory Examples are described and are studied in detail when new properties are presented.
Author | : Robert Edward Bowen |
Publisher | : Springer |
Total Pages | : 85 |
Release | : 2008-04-04 |
Genre | : Mathematics |
ISBN | : 3540776958 |
Download Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms Book in PDF, Epub and Kindle
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."
Author | : Paul Richard Halmos |
Publisher | : Chelsea Publishing Company, Incorporated |
Total Pages | : 99 |
Release | : 1956 |
Genre | : Ergodic theory |
ISBN | : 9780828401425 |
Download Lectures on Ergodic Theory Book in PDF, Epub and Kindle
Author | : Iakov Grigorevich Sinai |
Publisher | : Princeton University Press |
Total Pages | : 227 |
Release | : 2017-03-14 |
Genre | : Mathematics |
ISBN | : 1400887259 |
Download Topics in Ergodic Theory (PMS-44), Volume 44 Book in PDF, Epub and Kindle
This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with multi-dimensional time), elements of the renormalization group method in the theory of dynamical systems, splitting of separatrices, and some problems related to the theory of hyperbolic dynamical systems. Originally published in 1993. 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.