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Record Nr. |
UNINA9910480869403321 |
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Autore |
Kigami Jun |
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Titolo |
Volume doubling measures and heat kernel estimates on self-similar sets / / Jun Kigami |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (110 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 199, Number 932 |
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Disciplina |
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Soggetti |
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Measure theory |
Fractals |
Self-similar 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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"Volume 199, Number 932 (third of 6 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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"" |
""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"" |
""P""""Q""; ""R""; ""S""; ""U""; ""V""; ""W"" |
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