I am looking for a good introductory book on ergodic theory. Can someone recommend some introductory texts on that?
Reference for Ergodic Theory
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4Could you expand a bit on your background and what you'd like to explore and what your interests are? The literature on ergodic theory and its applications is more than vast. Good and helpful recommendations must take your interests into account. There are some very basic theorems (e.g. Poincaré recurrence, von Neumann, Birkhoff) that you'll find in any book, but when it comes to applications, the focuses of the books quickly diverge. – 2011-06-22
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1I intend a book with the basics (recurrence/ergodicity) for the first contact with subject for a grad student in math, with some background in measure theory – 2011-06-22
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1I was about to post a similar question. I glanced over some books at google and I was thinking about purchasing Silva: Invitation to ergodic theory http://books.google.com/books?id=eCoES7HzrHQC or Nadkarni: Basic ergodic theory http://books.google.com/books?id=w4WPxmTqq-sC In case someone knows these books I would be grateful for your opinion about them. – 2011-06-22
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0Ergodic Theory by Karl Petersen. – 2011-06-22
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0If you have a little background in probability theory then you might like "The ergodic theory of discrete sample paths" by Shields. – 2013-02-04