Entropy in Dynamical Systems / Tomasz Downarowicz.
"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 Gener...
Saved in:
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2011, ©2011.
|
| Series: | New mathematical monographs ;
18. |
| Subjects: | |
| Genre: | |
| Physical Description: | xii, 391 pages : illustrations ; 24 cm. |
| Format: | Book |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | in00004961325 | ||
| 003 | OCoLC | ||
| 005 | 20220616030730.0 | ||
| 008 | 101129t20112011enka b 001 0 eng | ||
| 010 | |a 2010050336 | ||
| 020 | |a 9780521888851 (hardback) | ||
| 020 | |a 0521888859 (hardback) | ||
| 035 | |a (CaEvSKY)sky234877937 | ||
| 035 | |a (OCoLC)694616470 | ||
| 040 | |a DLC |e rda |c DLC |d YDX |d CDX |d YDXCP |d BWX |d UtOrBLW | ||
| 042 | |a pcc | ||
| 049 | |a EEMO | ||
| 050 | 0 | 0 | |a QA611.5 |b .D685 2011 |
| 082 | 0 | 0 | |a 515/.39 |2 22 |
| 100 | 1 | |a Downarowicz, Tomasz, |d 1956- |e author. |0 http://id.loc.gov/authorities/names/n2010077181 | |
| 245 | 1 | 0 | |a Entropy in Dynamical Systems / |c Tomasz Downarowicz. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2011, ©2011. | ||
| 300 | |a xii, 391 pages : |b illustrations ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a New mathematical monographs ; |v 18 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 8 | |a Machine 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"-- |c Provided by publisher. | ||
| 650 | 0 | |a Topological entropy |v Textbooks. |0 http://id.loc.gov/authorities/subjects/sh2001002974 | |
| 650 | 0 | |a Topological dynamics |v Textbooks. |0 http://id.loc.gov/authorities/subjects/sh85136080 | |
| 650 | 7 | |a MATHEMATICS / General. |2 bisacsh | |
| 830 | 0 | |a New mathematical monographs ; |v 18. |0 http://id.loc.gov/authorities/names/n2003010567 | |
| 907 | |y .b88134337 |b 210127 |c 110728 | ||
| 998 | |a mn |b 111011 |c m |d a |e - |f eng |g enk |h 0 |i 2 | ||
| 999 | f | f | |i 452bc08a-9595-5c83-a9cb-126bd6763b97 |s 30c6d4db-222f-5886-b02f-0db856d531b5 |t 0 |
| 952 | f | f | |p Can Circulate |a Michigan State University-Library of Michigan |b Michigan State University |c MSU Main Library |d MSU Main Library |t 0 |e QA611.5 .D685 2011 |h Library of Congress classification |i Printed Material |m 31293007213964 |n 1 |