Entropy in Dynamical Systems
Material type:
TextLanguage: English Series: New Mathematical Monographs ; 18Publication details: Cambridge : Cambridge University Press, 2011.Description: xii, 391 p. ; 24 cmISBN: - 9780521888851
- B28 Q1 NBHM
Textual
| Item type | Current library | Home library | Call number | Status | Barcode | |
|---|---|---|---|---|---|---|
Textual
|
Faculty of Mathematical Sciences Library | Central Science Library | B28 Q1 NBHM (Browse shelf(Opens below)) | Available | SL1656182 |
Browsing Central Science Library shelves Close shelf browser (Hides shelf browser)
| No cover image available |
|
No cover image available |
|
|
|
|
||
| B28 M6.2 Fundamentals of statistics | B28 P6;R1 TB28 Introduction to the practice of statistics | B28 Q0;R2 TB Statistical methods | B28 Q1 NBHM Entropy in Dynamical Systems | B28 Q2 TB Nonparametric Statistical Tests : A Computational Approach | B28 Q2;R0 Statistical concepts: A second course | B28 Q2;R3 TB Applied categorical and count data analysis |
Includes bibliographical references (pages [379]-385) and index.
"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"--
There are no comments on this title.
