Ergodic Theory And Zd Actions
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Author | : Mark Pollicott |
Publisher | : Cambridge University Press |
Total Pages | : 496 |
Release | : 1996-03-28 |
Genre | : Mathematics |
ISBN | : 0521576881 |
Download Ergodic Theory and Zd Actions Book in PDF, Epub and Kindle
A mixture of surveys and original articles that span the theory of Zd actions.
Author | : Mark Pollicott |
Publisher | : |
Total Pages | : 484 |
Release | : 1996 |
Genre | : Differentiable dynamical systems |
ISBN | : |
Download Ergodic Theory of Zd Actions Book in PDF, Epub and Kindle
A mixture of surveys and original articles that span the theory of Zd actions.
Author | : Darlene M. Olsen |
Publisher | : |
Total Pages | : 53 |
Release | : 2003 |
Genre | : Ergodic theory |
ISBN | : |
Download The Spectrum of Zd-actions in Ergodic Theory Book in PDF, Epub and Kindle
Author | : Klaus Schmidt |
Publisher | : American Mathematical Soc. |
Total Pages | : 102 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 0821807277 |
Download Algebraic Ideas in Ergodic Theory Book in PDF, Epub and Kindle
The author examines the influence of operator algebras on dynamics, concentrating on ergodic equivalence relations. He also covers higher dimensional Markov shifts, making the assumption that the Markov shift carries a group structure.
Author | : Mark Pollicott |
Publisher | : |
Total Pages | : 496 |
Release | : 1996 |
Genre | : Ergodic theory |
ISBN | : |
Download Ergodic Theory and [higher Dimensional] Z Actions 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 | : Eli Glasner |
Publisher | : American Mathematical Soc. |
Total Pages | : 401 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821833723 |
Download Ergodic Theory via Joinings Book in PDF, Epub and Kindle
This textbook focuses on the abstract aspects of topological dynamics and ergodic theory, and presents several examples of the joining technique. The author covers dynamical systems on Lebesgue spaces, the Koopman representation, isometric and weakly mixing extensions, the Furstenberg-Zimmer structure theorem, and the entropy theory for Z-systems. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com).
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 | : Vitaly Bergelson |
Publisher | : Walter de Gruyter |
Total Pages | : 461 |
Release | : 2011-06-15 |
Genre | : Mathematics |
ISBN | : 3110889382 |
Download Convergence in Ergodic Theory and Probability Book in PDF, Epub and Kindle
This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Author | : Ricardo Mane |
Publisher | : Springer Science & Business Media |
Total Pages | : 328 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642703356 |
Download Ergodic Theory and Differentiable Dynamics Book in PDF, Epub and Kindle
This version differs from the Portuguese edition only in a few additions and many minor corrections. Naturally, this edition raised the question of whether to use the opportunity to introduce major additions. In a book like this, ending in the heart of a rich research field, there are always further topics that should arguably be included. Subjects like geodesic flows or the role of Hausdorff dimension in con temporary ergodic theory are two of the most tempting gaps to fill. However, I let it stand with practically the same boundaries as the original version, still believing these adequately fulfill its goal of presenting the basic knowledge required to approach the research area of Differentiable Ergodic Theory. I wish to thank Dr. Levy for the excellent translation and several of the correc tions mentioned above. Rio de Janeiro, January 1987 Ricardo Mane Introduction This book is an introduction to ergodic theory, with emphasis on its relationship with the theory of differentiable dynamical systems, which is sometimes called differentiable ergodic theory. Chapter 0, a quick review of measure theory, is included as a reference. Proofs are omitted, except for some results on derivatives with respect to sequences of partitions, which are not generally found in standard texts on measure and integration theory and tend to be lost within a much wider framework in more advanced texts.