分野別セミナー

Abstract : In this talk, we give an analytic characterization
of gaugeability for generalized Feynman-Kac functionals
including continuous additive functional of $0$-energy, whose
quadratic forms are obtained from local and non-local
perturbations.
Our result improves the previous known results even if we
restrict ourselves to deal with non-local perturbations.
We also show that such a characterization is also equivalent

to the subcriticality of the symmetric operator associated to
our Feynman-Kac semigroup under conditional Green-tightness of

measures. As an application, we also show the stability of
heat kernel estimates of symmetric $¥alpha$-stable processes

under such perturbations.
This talk is based on joint works with Kazuhiro Kuwae.


2月17日の九州確率論セミナーの会場は熊本大学です。
開始時刻は午後1時30分からです。