Science/Engineering Introduction to Ergodic Theory (0387951520)

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Iakov Grigorevich Sinai , V. Scheffer , "Introduction to Ergodic Theory"

This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory. The mathematical prerequisites are summarized in Chapter 0. It is hoped the reader will be ready to tackle research papers after reading the book. The first part of the text is concerned with measure-preserving transformations of probability spaces; recurrence properties, mixing properties, the Birkhoff ergodic theorem, isomorphism and spectral isomorphism, and entropy theory are discussed. Some examples are described and are studied in detail when new properties are presented. The second part of the text focuses on the ergodic theory of continuous transformations of compact metrizable spaces. The family of invariant probability measures for such a transformation is studied and related to properties of the transformation such as topological traitivity, minimality, the size of the non-wandering set, and existence of periodic points. Topological entropy is introduced and related to measure-theoretic entropy. Topological pressure and equilibrium states are discussed, and a proof is given of the variational principle that relates pressure to measure-theoretic entropies. Several examples are studied in detail. The final chapter outlines significant results and some applications of ergodic theory to other branches of mathematics.

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	Technical Computational Ergodic Theory Publisher: SpringerLanguage: EnglishISBN: 3540231218Paperback:?453 pagesData: May 2005Format: PDFDescription: Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordi ...
	Science/Engineering An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs) Jonathan S. B. Aaronson: "An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs)"American Mathematical Society \| ISBN: 0821804944 \| 1997 \| PDF \| 284 Pages \| 9,4 MBInfinite ergodic theory is the study of measure pre ...
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	The Ergodic Theory of Discrete Groups The Ergodic Theory of Discrete Groups Publisher: Cambridge University Press \| ISBN: 0521376742 \| edition 1989 \| PDF \| 236 pages \| 10,1 mbThe interaction between ergodic theory and discrete groups has a long history and much work was done i ...
	Ergodic Theory and Harmonic Analysis Karl E. Petersen, Ibrahim Salama, "Ergodic Theory and Harmonic Analysis: Proceedings of the 1993 Alexandria Conference" Cambridge University Press \| 1995 \| ISBN: 0521459990 \| 448 pages \| PDF \| 3,4 MB This volume contains articles that d ...
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	Technical Computational Ergodic Theory Publisher: SpringerLanguage: EnglishISBN: 3540231218Paperback:?453 pagesData: May 2005Format: PDFDescription: Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordi ...
	Science/Engineering An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs) Jonathan S. B. Aaronson: "An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs)"American Mathematical Society \| ISBN: 0821804944 \| 1997 \| PDF \| 284 Pages \| 9,4 MBInfinite ergodic theory is the study of measure pre ...
	Ergodic theory and topological dynamics Ergodic theory and topological dynamics Publisher: Academic Press \| ISBN: 0121371506 \| edition 1976 \| PDF \| 190 pages \| 14,3 mbThis book has been sixteen years aborning. In 1959-1960 the author sat in the lectures of S. Kakutani ...
	The Ergodic Theory of Discrete Groups The Ergodic Theory of Discrete Groups Publisher: Cambridge University Press \| ISBN: 0521376742 \| edition 1989 \| PDF \| 236 pages \| 10,1 mbThe interaction between ergodic theory and discrete groups has a long history and much work was done i ...
	Ergodic Theory and Harmonic Analysis Karl E. Petersen, Ibrahim Salama, "Ergodic Theory and Harmonic Analysis: Proceedings of the 1993 Alexandria Conference" Cambridge University Press \| 1995 \| ISBN: 0521459990 \| 448 pages \| PDF \| 3,4 MB This volume contains articles that d ...
	Nonfiction Dynamics, Ergodic Theory, and Geometry This volume contains surveys and research articles by leading experts in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperb ...

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