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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 | ||
| ||
Brownian Dynamics at Boundaries and Interfaces : In Physics, Chemistry, and Biology / / by Zeev Schuss
| Brownian Dynamics at Boundaries and Interfaces : In Physics, Chemistry, and Biology / / by Zeev Schuss |
| Autore | Schuss Zeev |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (340 p.) |
| Disciplina | 519.2/33 |
| Collana | Applied Mathematical Sciences |
| Soggetto topico |
Probabilities
Partial differential equations Physics Biomathematics Probability Theory and Stochastic Processes Partial Differential Equations Mathematical Methods in Physics Mathematical and Computational Biology |
| ISBN | 1-4614-7687-9 |
| Classificazione | 60-02, 60J65, 00A69 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Mathematical Brownian Motion -- Euler Simulation of Ito SDEs -- Simulation of the Overdamped Langevin Equation -- The First Passage Time of a Diffusion Process -- Chemical Reaction in Microdomains -- The Stochastic Separatrix -- Narrow Escape in R2 -- Narrow Escape in R3. |
| Record Nr. | UNINA-9910739444903321 |
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Schuss Zeev
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Brownian motion [[electronic resource] ] : an introduction to stochastic processes / / René L. Schilling, Lothar Partzsch ; with a chapter on simulation by Björn Böttcher
| Brownian motion [[electronic resource] ] : an introduction to stochastic processes / / René L. Schilling, Lothar Partzsch ; with a chapter on simulation by Björn Böttcher |
| Autore | Schilling René L |
| Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2012 |
| Descrizione fisica | 1 online resource (396 p.) |
| Disciplina | 519.2/33 |
| Altri autori (Persone) |
PartzschLothar <1945->
BöttcherBjörn |
| Collana | De Gruyter graduate |
| Soggetto topico |
Brownian motion processes
Stochastic processes |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-85795-2
3-11-027898-7 |
| Classificazione | SK 820 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Dependence chart -- Index of notation -- Chapter 1. Robert Brown's new thing -- Chapter 2. Brownian motion as a Gaussian process -- Chapter 3. Constructions of Brownian motion -- Chapter 4. The canonical model -- Chapter 5. Brownian motion as a martingale -- Chapter 6. Brownian motion as a Markov process -- Chapter 7. Brownian motion and transition semigroups -- Chapter 8. The PDE connection -- Chapter 9. The variation of Brownian paths -- Chapter 10. Regularity of Brownian paths -- Chapter 11. The growth of Brownian paths -- Chapter 12. Strassen's Functional Law of the Iterated Logarithm -- Chapter 13. Skorokhod representation -- Chapter 14. Stochastic integrals: L2-Theory -- Chapter 15. Stochastic integrals: beyond L2T -- Chapter 16. Itô's formula -- Chapter 17. Applications of Itô's formula -- Chapter 18. Stochastic differential equations -- Chapter 19. On diffusions -- Chapter 20. Simulation of Brownian motion / Böttcher, Björn -- Appendix -- Index |
| Record Nr. | UNINA-9910462432503321 |
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Schilling René L
|
||
| Berlin ; ; Boston, : De Gruyter, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Brownian motion [[electronic resource] ] : an introduction to stochastic processes / / René L. Schilling, Lothar Partzsch ; with a chapter on simulation by Björn Böttcher
| Brownian motion [[electronic resource] ] : an introduction to stochastic processes / / René L. Schilling, Lothar Partzsch ; with a chapter on simulation by Björn Böttcher |
| Autore | Schilling René L |
| Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2012 |
| Descrizione fisica | 1 online resource (396 p.) |
| Disciplina | 519.2/33 |
| Altri autori (Persone) |
PartzschLothar <1945->
BöttcherBjörn |
| Collana | De Gruyter graduate |
| Soggetto topico |
Brownian motion processes
Stochastic processes |
| Soggetto non controllato |
Brownian Motion
Numerical Simulation Stochastic Calculus Stochastic Process |
| ISBN |
1-283-85795-2
3-11-027898-7 |
| Classificazione | SK 820 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Dependence chart -- Index of notation -- Chapter 1. Robert Brown's new thing -- Chapter 2. Brownian motion as a Gaussian process -- Chapter 3. Constructions of Brownian motion -- Chapter 4. The canonical model -- Chapter 5. Brownian motion as a martingale -- Chapter 6. Brownian motion as a Markov process -- Chapter 7. Brownian motion and transition semigroups -- Chapter 8. The PDE connection -- Chapter 9. The variation of Brownian paths -- Chapter 10. Regularity of Brownian paths -- Chapter 11. The growth of Brownian paths -- Chapter 12. Strassen's Functional Law of the Iterated Logarithm -- Chapter 13. Skorokhod representation -- Chapter 14. Stochastic integrals: L2-Theory -- Chapter 15. Stochastic integrals: beyond L2T -- Chapter 16. Itô's formula -- Chapter 17. Applications of Itô's formula -- Chapter 18. Stochastic differential equations -- Chapter 19. On diffusions -- Chapter 20. Simulation of Brownian motion / Böttcher, Björn -- Appendix -- Index |
| Record Nr. | UNINA-9910790493303321 |
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Schilling René L
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| Berlin ; ; Boston, : De Gruyter, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Brownian motion on nested fractals / / Tom Lindstrøm
| Brownian motion on nested fractals / / Tom Lindstrøm |
| Autore | Lindstrøm Tom <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (140 p.) |
| Disciplina | 519.2/33 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Brownian motion processes
Fractals |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0843-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""I. Introduction""; ""II. Fractals in physics and mathematics""; ""III. Brownian motion on a snowflake""; ""IV. Nested fractals""; ""V. Transition probabilities""; ""VI. Transition times""; ""VII. Brownian motion on nested fractals""; ""VIII. An invariance principle""; ""IX. The Laplacian and its eigenvalues""; ""X. Open problems""; ""Note""; ""References""; ""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Y"" |
| Record Nr. | UNINA-9910480032603321 |
|
Lindstrøm Tom <1954->
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||
| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Brownian motion on nested fractals / / Tom Lindstrøm
| Brownian motion on nested fractals / / Tom Lindstrøm |
| Autore | Lindstrøm Tom <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (140 p.) |
| Disciplina | 519.2/33 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Brownian motion processes
Fractals |
| ISBN | 1-4704-0843-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""I. Introduction""; ""II. Fractals in physics and mathematics""; ""III. Brownian motion on a snowflake""; ""IV. Nested fractals""; ""V. Transition probabilities""; ""VI. Transition times""; ""VII. Brownian motion on nested fractals""; ""VIII. An invariance principle""; ""IX. The Laplacian and its eigenvalues""; ""X. Open problems""; ""Note""; ""References""; ""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Y"" |
| Record Nr. | UNINA-9910788873203321 |
|
Lindstrøm Tom <1954->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Brownian motion on nested fractals / / Tom Lindstrøm
| Brownian motion on nested fractals / / Tom Lindstrøm |
| Autore | Lindstrøm Tom <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (140 p.) |
| Disciplina | 519.2/33 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Brownian motion processes
Fractals |
| ISBN | 1-4704-0843-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""I. Introduction""; ""II. Fractals in physics and mathematics""; ""III. Brownian motion on a snowflake""; ""IV. Nested fractals""; ""V. Transition probabilities""; ""VI. Transition times""; ""VII. Brownian motion on nested fractals""; ""VIII. An invariance principle""; ""IX. The Laplacian and its eigenvalues""; ""X. Open problems""; ""Note""; ""References""; ""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Y"" |
| Record Nr. | UNINA-9910811640603321 |
|
Lindstrøm Tom <1954->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuous semi-Markov processes [[electronic resource] /] / Boris Harlamov
| Continuous semi-Markov processes [[electronic resource] /] / Boris Harlamov |
| Autore | Harlamov Boris |
| Pubbl/distr/stampa | London, : ISTE |
| Descrizione fisica | 1 online resource (377 p.) |
| Disciplina |
519.2/33
519.233 |
| Collana | ISTE |
| Soggetto topico |
Markov processes
Renewal theory |
| ISBN |
1-282-16484-8
9786612164842 0-470-61092-1 0-470-39351-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Continuous Semi-Markov Processes; Contents; Introduction; Chapter 1. Stepped Semi-Markov Processes; 1.1. Random sequence; 1.2. Markov chain; 1.3. Two-dimensional Markov chain; 1.4. Semi-Markov process; 1.5. Stationary distributions; Chapter 2. Sequences of First Exit Times and Regeneration Times; 2.1. Basic maps; 2.2. Markov times; 2.3. Deducing sequences; 2.4. Correct exit and continuity; 2.5. Time of regeneration; Chapter 3. General Semi-Markov Processes; 3.1. Definition of a semi-Markov process; 3.2. Transition function of a SM process; 3.3. Operators and SM walk
3.4. Operators and SM process3.5. Criterion of Markov property for SM processes; 3.6. Intervals of constancy; Chapter 4. Construction of Semi-Markov Processes using Semi-Markov Transition Functions; 4.1. Realization of an in nite system of pairs; 4.2. Extension of a measure; 4.3. Construction of a measure; 4.4. Construction of a projective system of measures; 4.5. Semi-Markov processes; Chapter 5. Semi-Markov Processes of Diffusion Type; 5.1. One-dimensional semi-Markov processes of diffusion type; 5.1.1. Differential equation; 5.1.2. Construction SM process 5.1.3. Some properties of the process5.2. Multi-dimensional processes of diffusion type; 5.2.1. Differential equations of elliptic type; 5.2.2. Neighborhood of arbitrary form; 5.2.3. Neighborhood of spherical form; 5.2.4. Characteristic operator; Chapter 6. Time Change and Semi-Markov Processes; 6.1. Time change and trajectories; 6.2. Intrinsic time and traces; 6.3. Canonical time change; 6.4. Coordination of function and time change; 6.5. Random time changes; 6.6. Additive functionals; 6.7. Distribution of a time run along the trace; 6.8. Random curvilinear integrals 6.9. Characteristic operator and integral6.10. Stochastic integral; 6.10.1. Semi-martingale and martingale; 6.10.2. Stochastic integral; 6.10.3. Ito-Dynkin's formula; Chapter 7. Limit Theorems for Semi-Markov Processes; 7.1. Weak compactness and weak convergence; 7.2. Weak convergence of semi-Markov processes; Chapter 8. Representation of a Semi-Markov Process as a Transformed Markov Process; 8.1. Construction by operator; 8.2. Comparison of processes; 8.3. Construction by parameters of Lévy formula; 8.4. Stationary distribution; Chapter 9. Semi-Markov Model of Chromatography 9.1. Chromatography9.2. Model of liquid column chromatography; 9.3. Some monotone Semi-Markov processes; 9.4. Transfer with diffusion; 9.5. Transfer with final absorption; Bibliography; Index |
| Record Nr. | UNINA-9910139467503321 |
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Harlamov Boris
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| London, : ISTE | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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