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Resistance forms, quasisymmetric maps, and heat kernel estimates / / Jun Kigami



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Autore: Kigami Jun Visualizza persona
Titolo: Resistance forms, quasisymmetric maps, and heat kernel estimates / / Jun Kigami Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2011
©2011
Descrizione fisica: 1 online resource (132 p.)
Disciplina: 515/.9
Soggetto topico: Quasiconformal mappings
Greenn's functions
Jump processes
Soggetto genere / forma: Electronic books.
Note generali: "March 2012, Volume 216, Number 1015 (first of 4 numbers)."
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: ""Contents""; ""Chapter 1. Introduction""; ""Part 1. Resistance forms and heat kernels""; ""Chapter 2. Topology associated with a subspace of functions""; ""Chapter 3. Basics on resistance forms ""; ""Chapter 4. The Green function""; ""Chapter 5. Topologies associated with resistance forms""; ""Chapter 6. Regularity of resistance forms""; ""Chapter 7. Annulus comparable condition and local property""; ""Chapter 8. Trace of resistance form""; ""Chapter 9. Resistance forms as Dirichlet forms""; ""Chapter 10. Transition density""; ""Part 2. Quasisymmetric metrics and volume doubling measures""
""Chapter 11. Semi-quasisymmetric metrics""""Chapter 12. Quasisymmetric metrics""; ""Chapter 13. Relations of measures and metrics""; ""Chapter 14. Construction of quasisymmetric metrics""; ""Part 3. Volume doubling measures and heat kernel estimates""; ""Chapter 15. Main results on heat kernel estimates""; ""Chapter 16. Example: the -stable process on R""; ""Chapter 17. Basic tools in heat kernel estimates""; ""Chapter 18. Proof of Theorem 15.6""; ""Chapter 19. Proof of Theorems 15.10, 15.11 and 15.13""; ""Part 4. Random Sierpinski gaskets""; ""Chapter 20. Generalized Sierpinski gasket""
""Chapter 21. Random Sierpinski gasket""""Chapter 22. Resistance forms on Random Sierpinski gaskets""; ""Chapter 23. Volume doubling property""; ""Chapter 24. Homogeneous case""; ""Chapter 25. Introducing randomness""; ""Bibliography""; ""Assumptions, Conditions and Properties in Parentheses""; ""List of Notations""; ""Index""
Titolo autorizzato: Resistance forms, quasisymmetric maps, and heat kernel estimates  Visualizza cluster
ISBN: 0-8218-8523-5
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480509503321
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Serie: Memoirs of the American Mathematical Society ; ; Volume 216, Number 1015.