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181   $ctxt
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200 10$aResistance forms, quasisymmetric maps, and heat kernel estimates /$fJun Kigami
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011.
210  4$dİ2011
215   $a1 online resource (132 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 216, Number 1015
300   $a"March 2012, Volume 216, Number 1015 (first of 4 numbers)."
311   $a0-8218-5299-X 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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""
327   $a""Chapter 21. Random Sierpinski gasket""""Chapter 22. Resistance forms on Random Sierpinski gaskets""; ""Chapter 23. Volume doubling property""; ""Chapter 24. Homogeneous case""; ""Chapter 25. Introducing randomness""; ""Bibliography""; ""Assumptions, Conditions and Properties in Parentheses""; ""List of Notations""; ""Index""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 216, Number 1015.
606   $aQuasiconformal mappings
606   $aGreenn's functions
606   $aJump processes
608   $aElectronic books.
615  0$aQuasiconformal mappings.
615  0$aGreenn's functions.
615  0$aJump processes.
676   $a515/.9
700   $aKigami$b Jun$065976
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906   $aBOOK
912   $a9910480509503321
996   $aResistance forms, quasisymmetric maps, and heat kernel estimates$92230353
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