Gaugeability for Feynman-Kac functionals with applications to symmetric α-stable processes

Masayoshi Takeda

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

For symmetric α-stable processes, an analytic criterion for a measure being gaugeable was obtained by Z.-Q. Chen (2002), M. Takeda (2002) and M. Takeda and T. Uemura (2004). Applying it, we consider the ultra-contractivity of Feynman-Kac semigroups and expectations of the number of branches hitting closed sets in branching symmetric α-stable processes.

Original languageEnglish
Pages (from-to)2729-2738
Number of pages10
JournalProceedings of the American Mathematical Society
Volume134
Issue number9
DOIs
Publication statusPublished - 2006 Sep

Keywords

  • Branching process
  • Gaugeability
  • Subcriticality
  • Symmetric stable process
  • Ultracontractivity

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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