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Entropy in Dynamical Systems /

Downarowicz, Tomasz, (1956-)

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Entropy in Dynamical Systems /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Entropy in Dynamical Systems // Tomasz Downarowicz.
作者:	Downarowicz, Tomasz,
出版者:	Cambridge ;Cambridge University Press, : 2011.,
面頁冊數:	xii, 391 p. :ill. ;24 cm.
標題:	Topological entropy - Textbooks. -
ISBN:	9780521888851 (hardback) :

Entropy in Dynamical Systems /
Downarowicz, Tomasz,1956-

Entropy in Dynamical Systems /Tomasz Downarowicz. - Cambridge ;Cambridge University Press,2011. - xii, 391 p. :ill. ;24 cm. - New Mathematical Monographs ;18..

Includes bibliographical references and index.

Provided by publisher."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"--

ISBN: 9780521888851 (hardback) :US90.00

LCCN: 2010050336Subjects--Topical Terms:

1325111
Topological entropy
--Textbooks.

LC Class. No.: QA611.5 / .D685 2011

Entropy in Dynamical Systems /
LDR:01640cam a22002058i 4500 001 999087
003 DLC
005 20111018105153.0
008 120223s2011 enka b 001 0 eng
010 $a 2010050336
020 $a 9780521888851 (hardback) : $c US90.00
035 $a AS-BW-100-N-04
040 $a DLC $b eng $c DLC $e rda
042 $a nbic
050 # 4 $a QA611.5 $b .D685 2011
100 1 $a Downarowicz, Tomasz, $d 1956- $3 1325110
245 1 0 $a Entropy in Dynamical Systems / $c Tomasz Downarowicz.
260 # $a Cambridge ; $a New York : $b Cambridge University Press, $c 2011.
300 $a xii, 391 p. : $b ill. ; $c 24 cm.
490 1 0 $a New Mathematical Monographs ; $v 18.
504 $a Includes bibliographical references and index.
520 # $a "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"-- $3 Provided by publisher.
650 # 0 $a Topological entropy $v Textbooks. $3 1325111
650 # 0 $a Topological dynamics $v Textbooks. $3 1325112