Cargando…
Geometric and Probabilistic Structures in Dynamics
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2008.
|
| Colección: | Contemporary Mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Contents""; ""Preface""; ""Nonconvergence examples in averaging""; ""Periodic rank one geodesics in Hadamard spaces""; ""Dynamical determinants and spectrum for hyperbolic diffeomorphisms""; ""Open problems in symbolic dynamics""; ""1. Introduction""; ""2. Definitions""; ""3. Classification of SFTs and the Little Shift Equivalence Conjecture""; ""4. Range of the dimension representation""; ""5. Positive Rational Shift Equivalence Conjecture""; ""6. The Generalized Spectral Conjecture""; ""7. The Equal Entropy Factors Conjecture for SFTs""; ""8. The factors problem for sofic shifts""
- ""9. The Good Finitary Conjecture for Markov shifts""""10. What can be a beta function?""; ""11. Structure of expansive subdynamics""; ""12. Can nonSFT expansive maps commute with irreducible SFTs?""; ""13. The Commuting Powers Conjecture for SFTs""; ""14. Jointly invariant measures""; ""15. Zd SFTs""; ""16. Stable limit sets of cellular automata""; ""17. Algebraic Zd SFTs""; ""18. Finitary codes and Markov random fields""; ""19. Decidability problems""; ""20. Onesided SFTs: the embedding problem""; ""21. Onesided sofic shifts: the classification problem""
- ""22. The Virtual FOG Conjecture for automorphisms of a mixing SFT""""23. Topological orbit equivalence""; ""24. Symbolic extension entropy and entropy structure""; ""25. Cellular automata and periodic points""; ""26. Cellular automata on big groups""; ""27. Entropy conjugacy and countable state Markov chains""; ""28. Beta shifts: Salem numbers and intrinsic ergodicity""; ""29. Adler's Renewal Question""; ""30. The Road Coloring Problem""; ""31. Parry's Finiteness Question for skew products""; ""32. Classification of sofic shifts""
- ""33. Classification and flow equivalence of general shifts""""34. The Pisot Conjecture""; ""35. Nivat's Conjecture""; ""Appendices""; ""Appendix A. Commuting SFTs and periodic points""; ""Appendix B. Commuting SFTs from commuting matrices, following Nasu""; ""Appendix C. LR Textile Systems""; ""Appendix D. Commuting SFTs from matrices commuting on dimension""; ""Appendix E. Primitive matrices SE but not SSE over Z+ [1/p]""; ""Appendix F. Examples for the onesided sofic classification problem""; ""Bibliography""
- ""New examples of topologically equivalent S-unimodal maps with different metric properties""""Appendix. Quasiconformal deformation of multipliers""; ""A remark on the group of PL-homeomorphisms in dimension one""; ""Fermi acceleration""; ""Introduction""; ""Stochastic models""; ""One and a half degree of freedom""; ""Several degrees of freedom""; ""Galton board""; ""Conclusions""; ""References""; ""Riemannian 2-step nilmanifolds with prescribed Ricci tensor""; ""On the Greenfield-Wallach and Katok conjectures in dimension three""