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· 제목 : Ergodic Theory via Joinings (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수리분석
· ISBN : 9781470419516
· 쪽수 : 384쪽
· 출판일 : 2015-06-30
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수리분석
· ISBN : 9781470419516
· 쪽수 : 384쪽
· 출판일 : 2015-06-30
목차
- Introduction
- General group actions
- Topological dynamics
- Dynamical systems on Lebesgue spaces
- Ergodicity and mixing properties
- Invariant measures on topological systems
- Spectral theory
- Joinings
- Some applications of joinings
- Quasifactors Isometric and weakly mixing extensions
- The Furstenberg-Zimmer structure theorem
- Host's theorem
- Simple systems and their self-joinings
- Kazhdan's property and the geometry of $M_{\Gamma}(\mathbf{X})$
- Entropy theory for $\mathbb{Z}$-systems
- Entropy
- Symbolic representations
- Constructions
- The relation between measure and topological entropy
- The Pinsker algebra, CPE and zero entropy systems
- Entropy pairs
- Krieger's and Ornstein's theorems
- Prerequisite background and theorems
- Bibliography
- Index of symbols
- Index of terms
