Open AccessLarge deviation for additive functionals of symmetric Markov processes
Author(s) -
Zhen-Qing Chen,
Kaneharu Tsuchida
Publication year - 2020
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/tran/8039
Subject(s) - mathematics , dirichlet distribution , embedding , pure mathematics , markov chain , dirichlet form , markov process , mathematical analysis , statistics , artificial intelligence , computer science , boundary value problem
In this paper, we establish a large deviation principle for pairs of continuous and purely discontinuous additive functionals of symmetric Borel right processes on Lusin spaces. We also establish compact embedding results for the extended Dirichlet spaces of symmetric Markov processes that possess Green potential kernels.