Resistance forms, quasisymmetric maps, and heat kernel estimates /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kigami, Jun
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2011.
Colección:Memoirs of the American Mathematical Society ; no. 1015.
Temas:
Quasiconformal mappings.
Green's functions.
Jump processes.
Applications quasi conformes.
Fonctions de Green.
Processus de sauts.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Green's functions
Jump processes
Quasiconformal mappings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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