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Record Nr. |
UNINA9910480509503321 |
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Autore |
Kigami Jun |
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Titolo |
Resistance forms, quasisymmetric maps, and heat kernel estimates / / Jun Kigami |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2011 |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (132 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 216, Number 1015 |
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Disciplina |
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Soggetti |
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Quasiconformal mappings |
Greenn's functions |
Jump processes |
Electronic books. |
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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 2012, Volume 216, Number 1015 (first of 4 numbers)." |
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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""; ""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"" |
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""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"" |
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