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Lectures on Ergodic Theory

2017-12-13 Mathematics
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Release : 2017-12-13
Genre : Mathematics
Kind : eBook
Book Rating : 890/5 ( reviews)

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Book Synopsis Lectures on Ergodic Theory by : Paul R. Halmos

Download or read book Lectures on Ergodic Theory written by Paul R. Halmos. This book was released on 2017-12-13. Available in PDF, EPUB and Kindle. Book excerpt: This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "The book is written in the pleasant, relaxed, and clear style usually associated with the author," noted the Bulletin of the American Mathematical Society, adding, "The material is organized very well and painlessly presented." Suitable for advanced undergraduates and graduate students in mathematics, the treatment covers recurrence, mean and pointwise convergence, ergodic theorem, measure algebras, and automorphisms of compact groups. Additional topics include weak topology and approximation, uniform topology and approximation, invariant measures, unsolved problems, and other subjects.

Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

1993-02-04 Mathematics
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Release : 1993-02-04
Genre : Mathematics
Kind : eBook
Book Rating : 932/5 ( reviews)

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Book Synopsis Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds by : Mark Pollicott

Download or read book Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds written by Mark Pollicott. This book was released on 1993-02-04. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a unique introduction to Pesin theory and its applications.

Lectures on Ergodic Theory

2017-11-15 Mathematics
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Release : 2017-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 848/5 ( reviews)

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Book Synopsis Lectures on Ergodic Theory by : Paul R. Halmos

Download or read book Lectures on Ergodic Theory written by Paul R. Halmos. This book was released on 2017-11-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ergodic Theory — Introductory Lectures

2007-12-03 Mathematics
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Release : 2007-12-03
Genre : Mathematics
Kind : eBook
Book Rating : 949/5 ( reviews)

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Book Synopsis Ergodic Theory — Introductory Lectures by : P. Walters

Download or read book Ergodic Theory — Introductory Lectures written by P. Walters. This book was released on 2007-12-03. Available in PDF, EPUB and Kindle. Book excerpt:

Ergodic Theory

2010-09-11 Mathematics
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Release : 2010-09-11
Genre : Mathematics
Kind : eBook
Book Rating : 215/5 ( reviews)

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Book Synopsis Ergodic Theory by : Manfred Einsiedler

Download or read book Ergodic Theory written by Manfred Einsiedler. This book was released on 2010-09-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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