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The Resource Resistance forms, quasisymmetric maps, and heat kernel estimates, Jun Kigami

Resistance forms, quasisymmetric maps, and heat kernel estimates, Jun Kigami

Label
Resistance forms, quasisymmetric maps, and heat kernel estimates
Title
Resistance forms, quasisymmetric maps, and heat kernel estimates
Statement of responsibility
Jun Kigami
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Kigami, Jun
Dewey number
515/.9
Illustrations
illustrations
Index
index present
LC call number
QA360
LC item number
.K54 2011
Literary form
non fiction
Nature of contents
bibliography
Series statement
Memoirs of the American Mathematical Society,
Series volume
no. 1015
http://library.link/vocab/subjectName
  • Quasiconformal mappings
  • Green's functions
  • Jump processes
Label
Resistance forms, quasisymmetric maps, and heat kernel estimates, Jun Kigami
Instantiates
Publication
Note
"Volume 216, number 1015 (first of 4 numbers)."
Bibliography note
Includes bibliographical references (pages 123-25) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
769419616
Dimensions
26 cm
Extent
iv, 132 pages
Isbn
9780821852996
Isbn Type
(alk. paper)
Lccn
2011046934
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)769419616
Label
Resistance forms, quasisymmetric maps, and heat kernel estimates, Jun Kigami
Publication
Note
"Volume 216, number 1015 (first of 4 numbers)."
Bibliography note
Includes bibliographical references (pages 123-25) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
769419616
Dimensions
26 cm
Extent
iv, 132 pages
Isbn
9780821852996
Isbn Type
(alk. paper)
Lccn
2011046934
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)769419616

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      38.710138 -90.311107
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