3 papers
math.PR2022
Stability of estimates for fundamental solutions under Feynman-Kac perturbations for symmetric Markov processes
Daehong Kim, Panki Kim, Kazuhiro Kuwae
In this paper, when a given symmetric Markov process X satisfies the stability of global heat kernel two-sided (upper) estimates by Markov perturbations, we give a necessary and su…
math.PR2019
On a scattering length for additive functionals and spectrum of fractional Laplacians with non-local perturbations
Daehong Kim, Masakuni Matsuura
In this paper we study the scattering length for positive additive functionals of symmetric stable processes on . The additive functionals considered here are not necess…
math.PR2019
Recurrence of direct products of diffusion processes in random media having zero potentials
Daehong Kim, Seiichiro Kusuoka
In this paper, we introduce an index which measures the strength of recurrence of symmetric Markov processes, and give some sufficient conditions for recurrence of direct products…