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181   $ctxt
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200 10$aVolume doubling measures and heat kernel estimates on self-similar sets /$fJun Kigami
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009.
210  4$dİ2009
215   $a1 online resource (110 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 199, Number 932
300   $a"Volume 199, Number 932 (third of 6 numbers)."
311   $a0-8218-4292-7 
320   $aIncludes bibliographical references and index.
327   $a""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""
327   $a""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""
327   $a""P""""Q""; ""R""; ""S""; ""U""; ""V""; ""W""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 199, Number 932.
606   $aMeasure theory
606   $aFractals
606   $aSelf-similar processes
615  0$aMeasure theory.
615  0$aFractals.
615  0$aSelf-similar processes.
676   $a515.42
700   $aKigami$b Jun$065976
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910811735903321
996   $aVolume doubling measures and heat kernel estimates on self-similar sets$93990279
997   $aUNINA