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[null,"1.","Record Nr.",null,"UNINA9910813078803321"]
[null,null,"Autore",null,"Downarowicz Tomasz <1956->"]
[null,null,"Titolo",null,"Entropy in Dynamical Systems / / Tomasz Downarowicz [[electronic resource]]"]
[null,null,"Pubbl/distr/stampa",null,"Cambridge : , : Cambridge University Press, , 2011"]
[null,null,"ISBN",null,"1-107-21931-0"]
[{"$nulls":4},"1-283-38392-6"]
[{"$nulls":4},"1-139-18928-X"]
[{"$nulls":4},"9786613383921"]
[{"$nulls":4},"1-139-18798-8"]
[{"$nulls":4},"1-139-19058-X"]
[{"$nulls":4},"1-139-18336-2"]
[{"$nulls":4},"1-139-18567-5"]
[{"$nulls":4},"0-511-97615-1"]
[null,null,"Descrizione fisica",null,"1 online resource (xii, 391 pages) : digital, PDF file(s)"]
[null,null,"Collana",null,"New mathematical monographs ; ; 18"]
[null,null,"Classificazione",null,"MAT000000"]
[null,null,"Disciplina",null,"515/.39"]
[null,null,"Soggetti",null,"Topological entropy"]
[{"$nulls":4},"Topological dynamics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Title from publisher's bibliographic system (viewed on 05 Oct 2015)."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. [379]-385) and index."]
[null,null,"Nota di contenuto",null,"Introduction -- Part I. Entropy in Ergodic Theory: 1. Shannon information and entropy; 2. Dynamical entropy of a process; 3. Entropy theorems in processes; 4. Kolmogorov-Sinai entropy; 5. The Ergodic Law of Series -- Part II. Entropy in Topological Dynamics: 6. Topological entropy; 7. Dynamics in dimension zero; 8. The entropy structure; 9. Symbolic extensions; 10. A touch of smooth dynamics -- Part III. Entropy Theory for Operators: 11. Measure-theoretic entropy of stochastic operators; 12. Topological entropy of a Markov operator; 13. Open problems in operator entropy -- Appendix A. Toolbox -- Appendix B. Conditional S-M-B."]
[null,null,null,"Sommario/riassunto","This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon-McMillan-Breiman Theorem, the Ornstein-Weiss Return Time Theorem, the Krieger Generator Theorem and, among the newest developments, the ergodic law of series. In Part II, after an "]
[{"$nulls":4},"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."]