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Record Nr. |
UNINA9910813652103321 |
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Autore |
Sowers R. B (Richard Bucher), <1965-> |
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Titolo |
Short-time geometry of random heat kernels / / Richard B. Sowers |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1998 |
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ISBN |
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Descrizione fisica |
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1 online resource (145 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 629 |
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Disciplina |
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Soggetti |
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Heat equation |
Stochastic partial differential equations |
Filters (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"March 1998, volume 132, number 629 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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