000			03059nam a2200349 a 4500
001			ebr10521005
003			CaPaEBR
006			m u
007			cr cn|||||||||
008			101129s2011 enk sb 001 0 eng d
010			_z 2010050336
020			_z9780521888851 (hardback)
020			_z9781139185677 (e-book)
040			_aCaPaEBR _cCaPaEBR
035			_a(OCoLC)774385269
050	1	4	_aQA611.5 _b.D685 2011eb
082	0	4	_a515/.39 _222
100	1		_aDownarowicz, Tomasz, _d1956-
245	1	0	_aEntropy in dynamical systems _h[electronic resource] / _cTomasz Downarowicz.
260			_aCambridge ; _aNew York : _bCambridge University Press, _c2011.
300			_axii, 391 p.
490	1		_aNew mathematical monographs ; _v18
504			_aIncludes bibliographical references (p. [379]-385) and index.
505	8		_aMachine generated contents note: Introduction; Part I. Entropy in Ergodic Theory: 1. Shannon information and entropy; 2. Dynamical entropy of a process; 3. Entropy theorems in processes; 4. Kolmogorov-Sinai entropy; 5. The ergodic law of series; Part II. Entropy in Topological Dynamics: 6. Topological entropy; 7. Dynamics in dimension zero; 8. The entropy structure; 9. Symbolic extensions; 10. A touch of smooth dynamics; Part III. Entropy Theory for Operators: 11. Measure theoretic entropy of stochastic operators; 12. Topological entropy of a Markov operator; 13. Open problems in operator entropy; Appendix A. Toolbox; Appendix B. Conditional S-M-B; List of symbols; References; 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"-- _cProvided by publisher.
533			_aElectronic reproduction. _bPalo Alto, Calif. : _cebrary, _d2013. _nAvailable via World Wide Web. _nAccess may be limited to ebrary affiliated libraries.
650		0	_aTopological entropy _vTextbooks.
650		0	_aTopological dynamics _vTextbooks.
655		7	_aElectronic books. _2local
710	2		_aebrary, Inc.
830		0	_aNew mathematical monographs ; _v18.
856	4	0	_uhttp://site.ebrary.com/lib/daystar/Doc?id=10521005 _zAn electronic book accessible through the World Wide Web; click to view
999			_c196676 _d196676