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[null,"1.","Record Nr.",null,"UNINA9910788734603321"]
[null,null,"Autore",null,"Sowers R. B (Richard Bucher), <1965->"]
[null,null,"Titolo",null,"Short-time geometry of random heat kernels / / Richard B. Sowers"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 1998"]
[null,null,"ISBN",null,"1-4704-0218-1"]
[null,null,"Descrizione fisica",null,"1 online resource (145 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 629"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"519.2"]
[null,null,"Soggetti",null,"Heat equation"]
[{"$nulls":4},"Stochastic partial differential equations"]
[{"$nulls":4},"Filters (Mathematics)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"March 1998, volume 132, number 629 (end of volume).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Chapter 1. Introduction\"\"; \"\"Â1.1. The Short-Time Problem\"\"; \"\"Â1.2. The Main Results and Some Examples\"\"; \"\"Â1.3. Notation and Assumptions\"\"; \"\"Chapter 2. Guessing the Dominant Asymptotics\"\"; \"\"Â2.1. A Simpler Problem\"\"; \"\"Â2.2. A Minimization Problem\"\"; \"\"Â2.3. A Rate Function and Approximation for the Random Heat Kernel\"\"; \"\"Â2.4. Representation Results for the Secondary and Tertiary Terms\"\"; \"\"Chapter 3. Initial Condition and Evolution of the Approximate Kernel\"\"; \"\"Â3.1. The Short-Time Behavior of the Approximation\"\"; \"\"Â3.2. The Evolution of the Approximation\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"Appendix C: Garsia-Rodemich-Rumsey Estimates\"\"\"\"Bibliography\"\""]