Title Geometric and Probabilistic Structures in Dynamics

Published Providence : American Mathematical Society, 2008

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Description 1 online resource (358 p.) Series Contemporary Mathematics ; v.469 Contemporary Mathematics Contents ""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"" Notes Description based upon print version of record ""Metastability and Stochastic Resonance for Multiscale Systems"" English Subject Differentiable dynamical systems -- Congresses Geometry, Algebraic -- Congresses Differentiable dynamical systems Geometry, Algebraic Mathematics. Physical Sciences & Mathematics. Geometry. Genre/Form Conference papers and proceedings Form Electronic book Author Dolgopyat, Dmitry Pesin, Yakov Workshop on Dynamical Systems and Related Topics Corporate Author Workshop on Dynamical Systems and Related Topics ISBN 9780821881484 0821881485

Other Titles Contemporary Mathematics Contemporary Mathematics, Volume 469 Geometric and probabilistic structures in dynamics: Workshop on Dynamical Systems and Related Topics in honor of Michael Brin on the occasion of his 60th birthday, March 15-18, 2008, University of Maryland, College Park, MD

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