Topological Entropy and Equivalence of Dynamical Systems is popular PDF and ePub book, written by Roy L. Adler in 1979, it is a fantastic choice for those who relish reading online the Ergodic theory genre. Let's immerse ourselves in this engaging Ergodic theory book by exploring the summary and details provided below. Remember, Topological Entropy and Equivalence of Dynamical Systems can be Read Online from any device for your convenience.
Topological Entropy and Equivalence of Dynamical Systems Book PDF Summary
The purpose of this work is to prove a theorem for topological entropy analogous to Ornstein's result for measure entropy. For this a natural class of dynamical systems is needed to play the same role for topological entropy as the Bernoulli shifts do for measure entropy. Fortunately there is just such a class--the topological Markov shifts. The main result of this paper is that topological entropy along with another number, called the ergodic period, is a complete set of invariants under this new equivalence relation for the class of topological Markov shifts.
Detail Book of Topological Entropy and Equivalence of Dynamical Systems PDF
- Author : Roy L. Adler
- Release : 30 September 1979
- Publisher : American Mathematical Soc.
- ISBN : 9780821822197
- Genre : Ergodic theory
- Total Page : 90 pages
- Language : English
- PDF File Size : 11,7 Mb
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