A Note on time regularity for discrete time heat kernels

Nick Dungey

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    We offer a new, simple method of deriving time regularity estimates for discrete time "heat kernels". Our method applies, for example, to suitable Markov chains and to random walks on weighted graphs, and provides Gaussian estimates or Lp off-diagonal estimates for time differences of the iterated kernels.
    Original languageEnglish
    Pages (from-to)404-410
    Number of pages7
    JournalSemigroup Forum
    Volume72
    Issue number3
    DOIs
    Publication statusPublished - 2006

    Keywords

    • analytic operator
    • heat kernel
    • random walk
    • Markov chain

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