paper

Compactness of semigroups of explosive symmetric Markov processes

arXiv:1808.01799 · doi:10.1215/21562261-2020-0005

Abstract

In this paper, we investigate spectral properties of explosive symmetric Markov processes. Under a condition on its life time, we prove the -semigroup of Markov processes become compact operators.

arXiv comment14 pages; major revision; to appear in Kyoto J. of Math