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

University of Washington
National Defense Academy of Japan

科研成果: 期刊稿件 › 文章 › 同行评审

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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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title = "Large deviation for additive functionals of symmetric markov processes",

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.",

keywords = "Additive functional, Compact embedding, Large deviation, Spectral function",

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AB - 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.

KW - Additive functional

KW - Compact embedding

KW - Large deviation

KW - Spectral function

UR - https://www.scopus.com/pages/publications/85080932576

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DO - 10.1090/tran/8039

M3 - Article

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Large deviation for additive functionals of symmetric markov processes

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