Large deviation for additive functionals of symmetric markov processes

Zhen Qing Chen; Kaneharu Tsuchida

doi:10.1090/tran/8039

Large deviation for additive functionals of symmetric markov processes

Zhen Qing Chen, Kaneharu Tsuchida

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摘要

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.

源语言	英语
页（从-至）	2981-3005
页数	25
期刊	Transactions of the American Mathematical Society
卷	373
期	4
DOI	https://doi.org/10.1090/tran/8039
出版状态	已出版 - 2020
已对外发布	是

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10.1090/tran/8039

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Chen, Z. Q., & Tsuchida, K. (2020). Large deviation for additive functionals of symmetric markov processes. Transactions of the American Mathematical Society, 373(4), 2981-3005. https://doi.org/10.1090/tran/8039

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KW - Spectral function

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Large deviation for additive functionals of symmetric markov processes

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