Symmetric Markov processes with tightness property

Masayoshi Takeda

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A symmetric Markov process X is said to be in Class (T) if it is irreducible, strong Feller and possesses a tightness property. We give some properties of X in Class (T) and of the semi-group pt of X: the uniform large deviation principle of X, Lp -independence of growth bounds of pt, compactness of pt as an operator in L2, and boundedness of every eigenfunction of pt.

Original languageEnglish
Title of host publicationStochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016
EditorsGerald Trutnau, Andreas Eberle, Walter Hoh, Moritz Kassmann, Martin Grothaus, Wilhelm Stannat
PublisherSpringer New York LLC
Pages489-499
Number of pages11
ISBN (Print)9783319749280
DOIs
Publication statusPublished - 2018
EventInternational conference on Stochastic Partial Differential Equations and Related Fields, SPDERF 2016 - Bielefeld, Germany
Duration: 2016 Oct 102016 Oct 14

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume229
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherInternational conference on Stochastic Partial Differential Equations and Related Fields, SPDERF 2016
CountryGermany
CityBielefeld
Period16/10/1016/10/14

Keywords

  • Compactness of semigroup
  • Dirichlet form
  • Symmetric Markov process

ASJC Scopus subject areas

  • Mathematics(all)

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