03352nam 2200589 450 991048050950332120170816143343.00-8218-8523-5(CKB)3360000000464075(EBL)3114439(SSID)ssj0000889190(PQKBManifestationID)11478757(PQKBTitleCode)TC0000889190(PQKBWorkID)10876083(PQKB)10613445(MiAaPQ)EBC3114439(PPN)195419049(EXLCZ)99336000000046407520150416h20112011 uy 0engur|n|---|||||txtccrResistance forms, quasisymmetric maps, and heat kernel estimates /Jun KigamiProvidence, Rhode Island :American Mathematical Society,2011.©20111 online resource (132 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 216, Number 1015"March 2012, Volume 216, Number 1015 (first of 4 numbers)."0-8218-5299-X Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 216, Number 1015.Quasiconformal mappingsGreenn's functionsJump processesElectronic books.Quasiconformal mappings.Greenn's functions.Jump processes.515/.9Kigami Jun65976MiAaPQMiAaPQMiAaPQBOOK9910480509503321Resistance forms, quasisymmetric maps, and heat kernel estimates2230353UNINA