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Short-time geometry of random heat kernels / / Richard B. Sowers
| Short-time geometry of random heat kernels / / Richard B. Sowers |
| Autore | Sowers R. B (Richard Bucher), <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1998 |
| Descrizione fisica | 1 online resource (145 p.) |
| Disciplina |
510 s
519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Heat equation
Stochastic partial differential equations Filters (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0218-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Â1.1. The Short-Time Problem""; ""Â1.2. The Main Results and Some Examples""; ""Â1.3. Notation and Assumptions""; ""Chapter 2. Guessing the Dominant Asymptotics""; ""Â2.1. A Simpler Problem""; ""Â2.2. A Minimization Problem""; ""Â2.3. A Rate Function and Approximation for the Random Heat Kernel""; ""Â2.4. Representation Results for the Secondary and Tertiary Terms""; ""Chapter 3. Initial Condition and Evolution of the Approximate Kernel""; ""Â3.1. The Short-Time Behavior of the Approximation""; ""Â3.2. The Evolution of the Approximation""
""Chapter 4. The Minakshisundaram-Pleijel Coefficients""""Â4.1. An Ansatz""; ""Â4.2. Some Results on Multiple Wiener Integrals""; ""Â4.3. The Minakshisundaram-Pleijel Expansion""; ""Chapter 5. Error Estimates, Proof of the Main Theorem, and Extensions""; ""Â5.1. Setup of Equations""; ""Â5.2. Estimates on the Continuity of SPDE's""; ""Â5.3. The Near-Field Error""; ""Â5.4. The Far-Field Error""; ""Â5.5. Proof of the Main Theorem""; ""Â5.6. Extensions""; ""Appendices""; ""Appendix A: The Jacobi Flow""; ""Appendix B: Some Results on Multiple Wiener Integrals"" ""Appendix C: Garsia-Rodemich-Rumsey Estimates""""Bibliography"" |
| Record Nr. | UNINA-9910480866603321 |
Sowers R. B (Richard Bucher), <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Short-time geometry of random heat kernels / / Richard B. Sowers
| Short-time geometry of random heat kernels / / Richard B. Sowers |
| Autore | Sowers R. B (Richard Bucher), <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1998 |
| Descrizione fisica | 1 online resource (145 p.) |
| Disciplina |
510 s
519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Heat equation
Stochastic partial differential equations Filters (Mathematics) |
| ISBN | 1-4704-0218-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Â1.1. The Short-Time Problem""; ""Â1.2. The Main Results and Some Examples""; ""Â1.3. Notation and Assumptions""; ""Chapter 2. Guessing the Dominant Asymptotics""; ""Â2.1. A Simpler Problem""; ""Â2.2. A Minimization Problem""; ""Â2.3. A Rate Function and Approximation for the Random Heat Kernel""; ""Â2.4. Representation Results for the Secondary and Tertiary Terms""; ""Chapter 3. Initial Condition and Evolution of the Approximate Kernel""; ""Â3.1. The Short-Time Behavior of the Approximation""; ""Â3.2. The Evolution of the Approximation""
""Chapter 4. The Minakshisundaram-Pleijel Coefficients""""Â4.1. An Ansatz""; ""Â4.2. Some Results on Multiple Wiener Integrals""; ""Â4.3. The Minakshisundaram-Pleijel Expansion""; ""Chapter 5. Error Estimates, Proof of the Main Theorem, and Extensions""; ""Â5.1. Setup of Equations""; ""Â5.2. Estimates on the Continuity of SPDE's""; ""Â5.3. The Near-Field Error""; ""Â5.4. The Far-Field Error""; ""Â5.5. Proof of the Main Theorem""; ""Â5.6. Extensions""; ""Appendices""; ""Appendix A: The Jacobi Flow""; ""Appendix B: Some Results on Multiple Wiener Integrals"" ""Appendix C: Garsia-Rodemich-Rumsey Estimates""""Bibliography"" |
| Record Nr. | UNINA-9910788734603321 |
|
Sowers R. B (Richard Bucher), <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Short-time geometry of random heat kernels / / Richard B. Sowers
| Short-time geometry of random heat kernels / / Richard B. Sowers |
| Autore | Sowers R. B (Richard Bucher), <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1998 |
| Descrizione fisica | 1 online resource (145 p.) |
| Disciplina |
510 s
519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Heat equation
Stochastic partial differential equations Filters (Mathematics) |
| ISBN | 1-4704-0218-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Â1.1. The Short-Time Problem""; ""Â1.2. The Main Results and Some Examples""; ""Â1.3. Notation and Assumptions""; ""Chapter 2. Guessing the Dominant Asymptotics""; ""Â2.1. A Simpler Problem""; ""Â2.2. A Minimization Problem""; ""Â2.3. A Rate Function and Approximation for the Random Heat Kernel""; ""Â2.4. Representation Results for the Secondary and Tertiary Terms""; ""Chapter 3. Initial Condition and Evolution of the Approximate Kernel""; ""Â3.1. The Short-Time Behavior of the Approximation""; ""Â3.2. The Evolution of the Approximation""
""Chapter 4. The Minakshisundaram-Pleijel Coefficients""""Â4.1. An Ansatz""; ""Â4.2. Some Results on Multiple Wiener Integrals""; ""Â4.3. The Minakshisundaram-Pleijel Expansion""; ""Chapter 5. Error Estimates, Proof of the Main Theorem, and Extensions""; ""Â5.1. Setup of Equations""; ""Â5.2. Estimates on the Continuity of SPDE's""; ""Â5.3. The Near-Field Error""; ""Â5.4. The Far-Field Error""; ""Â5.5. Proof of the Main Theorem""; ""Â5.6. Extensions""; ""Appendices""; ""Appendix A: The Jacobi Flow""; ""Appendix B: Some Results on Multiple Wiener Integrals"" ""Appendix C: Garsia-Rodemich-Rumsey Estimates""""Bibliography"" |
| Record Nr. | UNINA-9910813652103321 |
|
Sowers R. B (Richard Bucher), <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||