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Entropy in Dynamical Systems /
~
Downarowicz, Tomasz, (1956-)
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Entropy in Dynamical Systems /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Entropy in Dynamical Systems // Tomasz Downarowicz.
Author:
Downarowicz, Tomasz,
Published:
Cambridge ;Cambridge University Press, : 2011.,
Description:
xii, 391 p. :ill. ;24 cm.
Subject:
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 /
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QA611.5
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.D685 2011
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Downarowicz, Tomasz,
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1956-
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1325110
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Entropy in Dynamical Systems /
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Tomasz Downarowicz.
260
#
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Cambridge ;
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New York :
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Cambridge University Press,
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2011.
300
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xii, 391 p. :
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ill. ;
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24 cm.
490
1 0
$a
New Mathematical Monographs ;
$v
18.
504
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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
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六樓西文書區HC-Z(6F Western Language Books)
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