Large deviation for additive functionals of symmetric Markov processes

Chen, Zhen-Qing; Tsuchida, Kaneharu

doi:10.1090/tran/8039

Large deviation for additive functionals of symmetric Markov processes
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by Zhen-Qing Chen and Kaneharu Tsuchida PDF

Trans. Amer. Math. Soc. 373 (2020), 2981-3005

Abstract:

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.

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