Entropy in Dynamical Systems (Hardcover)
 
作者: Tomasz Downarowicz 
分類: Differential calculus & equations ,
Nonlinear science  
書城編號: 388975


售價: $1148.00

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出版社: Cambridge University Press
出版日期: 2011/05/12
尺寸: 234x159x50mm
重量: 698 grams
ISBN: 9780521888851
 
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商品簡介
This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon-McMillan-Breiman Theorem, the Ornstein-Weiss Return Time Theorem, the Krieger Generator Theorem and, among the newest developments, the ergodic law of series. In Part II, after an expanded exposition of classical topological entropy, the book addresses Symbolic Extension Entropy. It offers deep insight into the theory of entropy structure and explains the role of zero-dimensional dynamics as a bridge between measurable and topological dynamics. Part III explains how both measure-theoretic and topological entropy can be extended to operators on relevant function spaces. Intuitive explanations, examples, exercises and open problems make this an ideal text for a graduate course on entropy theory. More experienced researchers can also find inspiration for further research.
Tomasz Downarowicz 作者作品表

Entropy in Dynamical Systems (Hardcover)

eBook: Symbolic Extensions of Amenable Group Actions and the Comparison Property (DRM PDF)

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