| 000 | 01822cam a2200253 i 4500 | ||
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| 001 | 16555969 | ||
| 005 | 20250611093920.0 | ||
| 008 | 101129t20112011enk b 001 0 eng | ||
| 020 | _a9780521888851 | ||
| 040 |
_aCSL _cCSL |
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| 041 |
_2eng _aeng |
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| 084 |
_aB28 Q1 NBHM _qCSL |
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| 100 | 1 |
_aDownarowicz, Tomasz, _eauthor. _9812528 |
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| 245 | 1 | 0 | _aEntropy in Dynamical Systems |
| 260 |
_aCambridge : _bCambridge University Press, _c2011. |
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| 300 |
_axii, 391 p. ; _c24 cm. |
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| 490 | 0 |
_aNew Mathematical Monographs ; _v18 |
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| 504 | _aIncludes bibliographical references (pages [379]-385) 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"-- | ||
| 650 | 0 | _aTopological entropy | |
| 650 | 0 | _aTopological dynamics | |
| 650 | 7 |
_aMATHEMATICS / General _9812529 |
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| 942 |
_2CC _n0 _cTEXL _hB28 Q1 NBHM |
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| 999 |
_c1431586 _d1431586 |
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