Heat kernels and analysis on manifolds, graphs, and metric spaces : lecture notes from a quarter program on Heat Kernels, Random Walks, and analysis on Manifolds and Graphs, : April 16-July 13, 2002, Emile Borel Centre of the Henri Poincaré Institute, Paris, France / / Pascal Auscher, Thierry Coulhon, Alexander Grigor'yan, editors
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| Titolo: |
Heat kernels and analysis on manifolds, graphs, and metric spaces : lecture notes from a quarter program on Heat Kernels, Random Walks, and analysis on Manifolds and Graphs, : April 16-July 13, 2002, Emile Borel Centre of the Henri Poincaré Institute, Paris, France / / Pascal Auscher, Thierry Coulhon, Alexander Grigor'yan, editors
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| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| ©2003 | |
| Descrizione fisica: | 1 online resource (434 p.) |
| Disciplina: | 515/.353 |
| Soggetto topico: | Heat equation |
| Elliptic operators | |
| Stochastic partial differential equations | |
| Metric spaces | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | AuscherPascal |
| CoulhonT | |
| GrigoryanA (Alexander) | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Preface""; ""Some questions on elliptic operators""; ""Introduction""; ""1. Operators of order two""; ""2. Higher order operators and systems""; ""3. Bounded elliptic forms""; ""References""; ""Heat kernels and sets with fractal structure""; ""1. Fractal sets""; ""2. The graphical Sierpinski gasket""; ""2.1 Graphs and random walks""; ""2.2 Simple random walk on the graphical SG""; ""2.3 Analysis on the Sierpinski gasket""; ""3. Sierpinski carpets""; ""3.1 Basic properties""; ""3.2 Resistance and crossing times""; ""4. General results on pre-fractal graphs"" |
| ""4.1 On-diagonal upper bounds""""4.2 Off-diagonal upper bounds""; ""4.3 Lower bounds""; ""4.4 Stability results for general pre-fractal graphs""; ""5. Continuum limits""; ""References""; ""Brownian motions on compact groups of infinite dimension""; ""1. Introduction""; ""2. Splitting into abelian and semisimple parts""; ""3. The abelian and semisimple cases""; ""4. Potential theory""; ""5. Examples""; ""References""; ""Heat kernel and isoperimetry on non-compact Riemannian manifolds""; ""1. Introduction""; ""2. A general scale of Sobolev inequalities"" | |
| ""3. L2 isoperimetric profile and heat kernel decay""""4. How to compute isoperimetric profiles""; ""References""; ""Heat kernels measures and infinite dimensional analysis""; ""1. Introduction""; ""2. Finite Dimensional Heat Kernel Measures""; ""3. Describing Smooth Measures on Rd Without Reference to Lebesgue Measure""; ""4. Infinite Dimensional Considerations""; ""5. Heat Kernel Measures Associated to l2""; ""6. Classical Wiener Measure""; ""7. Path and Loop Group Extensions""; ""8. Wiener Measure on W (M) and its Properties""; ""9. Motivations""; ""References"" | |
| ""1. lwasawa decomposition and characters"" | |
| Titolo autorizzato: | Heat kernels and analysis on manifolds, graphs, and metric spaces |
| ISBN: | 0-8218-7928-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910478895103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Contemporary mathematics (American Mathematical Society) ; ; v. 338.