Volume doubling measures and heat kernel estimates on self-similar sets / / Jun Kigami
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| Autore: |
Kigami Jun
|
| Titolo: |
Volume doubling measures and heat kernel estimates on self-similar sets / / Jun Kigami
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| ©2009 | |
| Descrizione fisica: | 1 online resource (110 p.) |
| Disciplina: | 515.42 |
| Soggetto topico: | Measure theory |
| Fractals | |
| Self-similar processes | |
| Note generali: | "Volume 199, Number 932 (third of 6 numbers)." |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | ""Contents""; ""Prologue""; ""0.1. Introduction""; ""0.2. the Unit square""; ""Chapter 1. Scales and Volume Doubling Property of Measures""; ""1.1. Scale""; ""1.2. Self-similar structures and measures""; ""1.3. Volume doubling property""; ""1.4. Locally finiteness and gentleness""; ""1.5. Rationally ramified self-similar sets 1""; ""1.6. Rationally ramified self-similar sets 2""; ""1.7. Examples""; ""Chapter 2. Construction of Distances""; ""2.1. Distances associated with scales""; ""2.2. Intersection type""; ""2.3. Qdistances adapted to scales"" |
| ""Chapter 3. Heat Kernel and Volume Doubling Property of Measures""""3.1. Dirichlet forms on self-similar sets""; ""3.2. Heat kernel estimate""; ""3.3. P.c.f. self-similar sets""; ""3.4. Sierpinski carpets""; ""3.5. Proof of Theorem 3.2.3""; ""Appendix""; ""A. Existence and continuity of a heat kernel""; ""B. Recurrent case and resistance form""; ""C. Heat kernel estimate to the volume doubling property""; ""Bibliography""; ""Assumptions, Conditions and Properties in Parentheses""; ""List of Notations""; ""Index""; ""A""; ""C""; ""D""; ""E""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N"" | |
| ""P""""Q""; ""R""; ""S""; ""U""; ""V""; ""W"" | |
| Titolo autorizzato: | Volume doubling measures and heat kernel estimates on self-similar sets |
| ISBN: | 1-4704-0538-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910811735903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 199, Number 932.