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Resistance forms, quasisymmetric maps, and heat kernel estimates / Jun Kigami.
| Author/creator | Kigami, Jun |
| Format | Book |
| Publication Info | Providence, R.I. : American Mathematical Society, 2011. |
| Description | v, 130 pages : illustrations ; 26 cm. |
| Subjects |
| Series | Memoirs of the American Mathematical Society ; no. 1015 Memoirs of the American Mathematical Society no. 1015. ^A638158 |
| Contents | Introduction -- Topology associated with a subspace of functions -- Basics on resistance forms -- The Green function -- Topologies associated with resistance forms -- Regularity of resistance forms -- Annulus comparable condition and local property -- Trace of resistance form -- Resistance forms as Dirichlet forms -- Transition density -- Semi-quasisymmetric metrics -- Quasisymmetric metrics -- Relations of measures and metrics -- Construction of quasisymmetric metrics -- Main results on heat kernel estimates -- Example: the a-stable process on R -- Basic tools in heat kernel estimates -- Proof of theorem 15.6 -- Proof of theorems 15.10, 15.11 and 15.13 -- Generalized Sierpinski gasket -- Random Sierpinski gasket -- Resistance forms on random Sierpinski gaskets -- Volume doubling property -- Homogenous case -- Introducing randomness. |
| Local note | FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, SEARCH BY CALL NUMBER QA3 .A57. |
| General note | "Volume 216, number 1015 (first of 4 numbers)." |
| Bibliography note | Includes bibliographical references (p. 123-25) and index. |
| LCCN | 2011046934 |
| ISBN | 9780821852996 (alk. paper) |
| ISBN | 082185299X (alk. paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | General Stacks | QA3 .A57 NO. 1015 | ✔ Available | Place Hold |