Short-time geometry of random heat kernels / / Richard B. Sowers
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| Autore: |
Sowers R. B (Richard Bucher), <1965->
|
| Titolo: |
Short-time geometry of random heat kernels / / Richard B. Sowers
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1998 |
| Descrizione fisica: | 1 online resource (145 p.) |
| Disciplina: | 510 s |
| 519.2 | |
| Soggetto topico: | Heat equation |
| Stochastic partial differential equations | |
| Filters (Mathematics) | |
| Note generali: | "March 1998, volume 132, number 629 (end of volume)." |
| Nota di bibliografia: | Includes bibliographical references. |
| 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"" | |
| Titolo autorizzato: | Short-time geometry of random heat kernels |
| ISBN: | 1-4704-0218-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910813652103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 629.