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

Masayoshi Takeda

doi:10.1090/S0002-9939-06-08281-5

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

Masayoshi Takeda

Research output: Contribution to journal › Article › peer-review

15 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 language	English
Pages (from-to)	2729-2738
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9939-06-08281-5
Publication status	Published - 2006 Sept
Externally published	Yes

Keywords

Branching process
Gaugeability
Subcriticality
Symmetric stable process
Ultracontractivity

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-06-08281-5

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AB - 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.

KW - Branching process

KW - Gaugeability

KW - Subcriticality

KW - Symmetric stable process

KW - Ultracontractivity

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IS - 9

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

Abstract

Keywords

ASJC Scopus subject areas

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