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Invitation to Ergodic Theory






Pub Date: 
Publisher:  American Mathematical Society
Summary: "This book is an introduction to basic concepts in ergodic theory such as recurrence, ergodicity, the ergodic theorem, mixing, and weak mixing. It does not assume knowledge of measure theory; all the results needed from measure theory are presented from scratch. In particular, the book includes a detailed construction of the Lebesgue measure on the real line and an introduction to measure spaces up to the Caratheodor...y extension theorem. It also develops the Lebesgue theory of integration, including the dominated convergence theorem and an introduction to the Lebesgue L[superscript p] spaces." "Several examples of a dynamical system are developed in detail to illustrate various dynamical concepts. These include in particular the baker's transformation, irrational rotations, the dyadic odometer, the Hajian-Kakutani transformation, the Gauss transformation, and the Chacon transformation. There is a detailed discussion of cutting and stacking transformations in ergodic theory. The book includes several exercises and some open questions to give the flavor of current research. The book also introduces some notions from topological dynamics, such as minimality, transitivity and symbolic spaces; and develops some metric topology, including the Baire category theorem."--BOOK JACKET.

Silva, C. E. is the author of Invitation to Ergodic Theory, published 2008 under ISBN 9780821844205 and 0821844202. Two hundred twenty eight Invitation to Ergodic Theory textbooks are available for sale on ValoreBooks.com, fifty three used from the cheapest price of $38.63, or buy new starting at $39.91.
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Invitation to Ergodic Theory

ISBN-13: 9780821844205

ISBN: 0821844202

Pub Date:
Publisher: American Mathematical Society
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