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Brownian Brownian motion-I / / N. Chernov, D. Dolgopyat
| Brownian Brownian motion-I / / N. Chernov, D. Dolgopyat |
| Autore | Chernov Nikolai <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 519.2/33 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Diffusion processes
Brownian movements Limit theorems (Probability theory) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0533-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1.1. The model""; ""1.2. The container""; ""1.3. Billiard approximations""; ""Chapter 2. Statement of results""; ""2.1. Heavy disk in 'equilibrium' (linear motion)""; ""2.2. Heavy disk at rest (slow acceleration)""; ""2.3. Heavy disk of small size""; ""2.4. Comparison to previous works""; ""Chapter 3. Plan of the proofs""; ""3.1. General strategy""; ""3.2. Precise definitions""; ""3.3. Key technical results""; ""Chapter 4. Standard pairs and equidistribution""; ""4.1. Unstable vectors""; ""4.2. Unstable curves""
""6.2. Structure of the proofs""""6.3. Short term moment estimates for V""; ""6.4. Moment estimates�a priori bounds""; ""6.5. Tightness""; ""6.6. Second moment""; ""6.7. Martingale property""; ""6.8. Transition to continuous time""; ""6.9. Uniqueness for stochastic differential equations""; ""Chapter 7. Fast slow particle""; ""Chapter 8. Small large particle""; ""Chapter 9. Open problems""; ""9.1. Collisions of the massive disk with the wall""; ""9.2. Longer time scales""; ""9.3. Stadia and the piston problem""; ""9.4. Finitely many particles""; ""9.5. Growing number of particles"" ""9.6. Particles of positive size""""Appendix A. Statistical properties of dispersing billiards""; ""A.1. Decay of correlations: overview""; ""A.2. Decay of correlations: extensions""; ""A.3. Large deviations""; ""A.4. Moderate deviations""; ""A.5. Nonsingularity of diffusion matrix""; ""A.6. Asymptotics of diffusion matrix""; ""Appendix B. Growth and distortion in dispersing billiards""; ""B.1. Regularity of H-curves""; ""B.2. Invariant Section Theorem""; ""B.3. The function space R""; ""Appendix C. Distortion bounds for two particle system""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910480616203321 |
Chernov Nikolai <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Brownian Brownian motion-I / / N. Chernov, D. Dolgopyat
| Brownian Brownian motion-I / / N. Chernov, D. Dolgopyat |
| Autore | Chernov Nikolai <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 519.2/33 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Diffusion processes
Brownian movements Limit theorems (Probability theory) |
| ISBN | 1-4704-0533-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1.1. The model""; ""1.2. The container""; ""1.3. Billiard approximations""; ""Chapter 2. Statement of results""; ""2.1. Heavy disk in 'equilibrium' (linear motion)""; ""2.2. Heavy disk at rest (slow acceleration)""; ""2.3. Heavy disk of small size""; ""2.4. Comparison to previous works""; ""Chapter 3. Plan of the proofs""; ""3.1. General strategy""; ""3.2. Precise definitions""; ""3.3. Key technical results""; ""Chapter 4. Standard pairs and equidistribution""; ""4.1. Unstable vectors""; ""4.2. Unstable curves""
""6.2. Structure of the proofs""""6.3. Short term moment estimates for V""; ""6.4. Moment estimates�a priori bounds""; ""6.5. Tightness""; ""6.6. Second moment""; ""6.7. Martingale property""; ""6.8. Transition to continuous time""; ""6.9. Uniqueness for stochastic differential equations""; ""Chapter 7. Fast slow particle""; ""Chapter 8. Small large particle""; ""Chapter 9. Open problems""; ""9.1. Collisions of the massive disk with the wall""; ""9.2. Longer time scales""; ""9.3. Stadia and the piston problem""; ""9.4. Finitely many particles""; ""9.5. Growing number of particles"" ""9.6. Particles of positive size""""Appendix A. Statistical properties of dispersing billiards""; ""A.1. Decay of correlations: overview""; ""A.2. Decay of correlations: extensions""; ""A.3. Large deviations""; ""A.4. Moderate deviations""; ""A.5. Nonsingularity of diffusion matrix""; ""A.6. Asymptotics of diffusion matrix""; ""Appendix B. Growth and distortion in dispersing billiards""; ""B.1. Regularity of H-curves""; ""B.2. Invariant Section Theorem""; ""B.3. The function space R""; ""Appendix C. Distortion bounds for two particle system""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910788854203321 |
|
Chernov Nikolai <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Brownian Brownian motion-I / / N. Chernov, D. Dolgopyat
| Brownian Brownian motion-I / / N. Chernov, D. Dolgopyat |
| Autore | Chernov Nikolai <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 519.2/33 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Diffusion processes
Brownian movements Limit theorems (Probability theory) |
| ISBN | 1-4704-0533-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1.1. The model""; ""1.2. The container""; ""1.3. Billiard approximations""; ""Chapter 2. Statement of results""; ""2.1. Heavy disk in 'equilibrium' (linear motion)""; ""2.2. Heavy disk at rest (slow acceleration)""; ""2.3. Heavy disk of small size""; ""2.4. Comparison to previous works""; ""Chapter 3. Plan of the proofs""; ""3.1. General strategy""; ""3.2. Precise definitions""; ""3.3. Key technical results""; ""Chapter 4. Standard pairs and equidistribution""; ""4.1. Unstable vectors""; ""4.2. Unstable curves""
""6.2. Structure of the proofs""""6.3. Short term moment estimates for V""; ""6.4. Moment estimates�a priori bounds""; ""6.5. Tightness""; ""6.6. Second moment""; ""6.7. Martingale property""; ""6.8. Transition to continuous time""; ""6.9. Uniqueness for stochastic differential equations""; ""Chapter 7. Fast slow particle""; ""Chapter 8. Small large particle""; ""Chapter 9. Open problems""; ""9.1. Collisions of the massive disk with the wall""; ""9.2. Longer time scales""; ""9.3. Stadia and the piston problem""; ""9.4. Finitely many particles""; ""9.5. Growing number of particles"" ""9.6. Particles of positive size""""Appendix A. Statistical properties of dispersing billiards""; ""A.1. Decay of correlations: overview""; ""A.2. Decay of correlations: extensions""; ""A.3. Large deviations""; ""A.4. Moderate deviations""; ""A.5. Nonsingularity of diffusion matrix""; ""A.6. Asymptotics of diffusion matrix""; ""Appendix B. Growth and distortion in dispersing billiards""; ""B.1. Regularity of H-curves""; ""B.2. Invariant Section Theorem""; ""B.3. The function space R""; ""Appendix C. Distortion bounds for two particle system""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910829176503321 |
|
Chernov Nikolai <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors
| 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 / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (358 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Geometry, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8148-5
0-8218-4286-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" ""Metastability and Stochastic Resonance for Multiscale Systems"" |
| Record Nr. | UNINA-9910480288003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors
| 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 / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (358 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Geometry, Algebraic |
| ISBN |
0-8218-8148-5
0-8218-4286-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 -- Metastability and Stochastic Resonance for Multiscale Systems. |
| Record Nr. | UNINA-9910788795703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors
| 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 / / Keith Burns, Dmitry Dolgopyat, Yakov Pesin, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (358 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Geometry, Algebraic |
| ISBN |
0-8218-8148-5
0-8218-4286-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 -- Metastability and Stochastic Resonance for Multiscale Systems. |
| Record Nr. | UNINA-9910809225003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||