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

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	2981-3005
Number of pages	25
Journal	Transactions of the American Mathematical Society
Volume	373
Issue number	4
DOIs	https://doi.org/10.1090/tran/8039
Publication status	Published - 2020
Externally published	Yes

Keywords

Additive functional
Compact embedding
Large deviation
Spectral function

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10.1090/tran/8039

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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",

author = "Chen, {Zhen Qing} and Kaneharu Tsuchida",

note = "Publisher Copyright: {\textcopyright} 2020 Zhen-Qing Chen and Kaneharu Tsuchida.",

year = "2020",

doi = "10.1090/tran/8039",

language = "English",

volume = "373",

pages = "2981--3005",

journal = "Transactions of the American Mathematical Society",

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T1 - Large deviation for additive functionals of symmetric markov processes

AU - Chen, Zhen Qing

AU - Tsuchida, Kaneharu

PY - 2020

Y1 - 2020

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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

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U2 - 10.1090/tran/8039

DO - 10.1090/tran/8039

M3 - Article

AN - SCOPUS:85080932576

SN - 0002-9947

VL - 373

SP - 2981

EP - 3005

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 4

ER -

Large deviation for additive functionals of symmetric markov processes

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Keywords

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