Convergence of measures penalized by generalized Feynman-Kac transforms

Daehong Kim; Masakuni Matsuura

doi:10.2748/tmj/1486177216

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Home > Journals > Tohoku Math. J. (2) > Volume 68 > Issue 4 > Article

2016 Convergence of measures penalized by generalized Feynman-Kac transforms

Daehong Kim, Masakuni Matsuura

Tohoku Math. J. (2) 68(4): 569-589 (2016). DOI: 10.2748/tmj/1486177216

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Abstract

We prove the existence of limiting laws for symmetric stable-like processes penalized by generalized Feynman-Kac functionals and characterize them by the gauge functions and the ground states of Schrödinger type operators.

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Daehong Kim. Masakuni Matsuura. "Convergence of measures penalized by generalized Feynman-Kac transforms." Tohoku Math. J. (2) 68 (4) 569 - 589, 2016. https://doi.org/10.2748/tmj/1486177216

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Published: 2016

First available in Project Euclid: 4 February 2017

zbMATH: 1358.60051

MathSciNet: MR3605448

Digital Object Identifier: 10.2748/tmj/1486177216

Subjects:

Primary: 60J45

Secondary: 35J10 , 60F17 , 60J35 , 60J55 , 60J57

Keywords: Criticality , Dirichlet forms , gauge functions , Generalized Feynman-Kac transform , Green-tight measures of Kato class , Ground states , limit-quotient theorems , penalized measures , special additive functionals , subcriticality , Supercriticality , symmetric stable-like processes

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Tohoku Math. J. (2)

Vol.68 • No. 4 • 2016

Tohoku University, Mathematical Institute

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Daehong Kim, Masakuni Matsuura "Convergence of measures penalized by generalized Feynman-Kac transforms," Tohoku Mathematical Journal, Tohoku Math. J. (2) 68(4), 569-589, (2016)

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