Ergodic theory on compact spaces
Spremljeno u:
| Glavni autori: | , , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serija: | Lecture notes in mathematics
527 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ergodic theory on compact spaces, Manfred Denker, Christian Grillenberger, Karl Sigmund, 1976, Berlin, Springer-Verlag, 1 volume (IV-360 p.), Lecture notes in mathematics, 0-387-07797-9 • Ergodic Theory on Compact Spaces, Texte imprimé, 9783662170120 |
Sadržaj:
- Measure-theoretic dynamical systems
- Measures on compact metric spaces
- Invariant measures for continuous tranformations
- Time averages
- Ergodicity
- Mixing and transitivity
- Shifts and subshifts
- Measures on the shift space
- Partitions and generators
- Information and entropy
- The computation of entropy
- Entropy for Bernoulli and Markov shifts
- Ergodic decompositions
- Topological entropy
- Topological generators
- Expansive homeomorphisms
- Subshifts of finite type
- The variational principle for topological entropy
- Measures with maximal entropy Intrinsically ergodic systems
- Entropy Expansive homeomorphisms
- The specification property
- Specification and expansiveness
- Basic sets for axiom A
- Automorphisms of the torus
- More on subshifts of finite type
- Preparations for generator theorems
- Combinatorial construction of minimal sets
- Finite generators for ergodic transformations (theorem of Krieger)
- Strictly ergodic embedding (Theorem of Jewett and Krieger)
- Finite generators for aperiodic transformations
- Embedding theorems for aperiodic transformations.