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Transactions of the American Mathematical Society

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Large deviation for additive functionals of symmetric Markov processes


Authors: Zhen-Qing Chen and Kaneharu Tsuchida
Journal: Trans. Amer. Math. Soc. 373 (2020), 2981-3005
MSC (2010): Primary 60F10, 60J55, 31C25; Secondary 60J25, 60J75
DOI: https://doi.org/10.1090/tran/8039
Published electronically: January 23, 2020
MathSciNet review: 4069239
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Abstract | References | Similar Articles | Additional Information

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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Additional Information

Zhen-Qing Chen
Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
MR Author ID: 242576
ORCID: 0000-0001-7037-4030
Email: zqchen@uw.edu

Kaneharu Tsuchida
Affiliation: National Defense Academy, Yokosuka, Kanagawa 239-8686, Japan
MR Author ID: 743064
Email: tsuchida@nda.ac.jp

Keywords: Large deviation, additive functional, spectral function, compact embedding
Received by editor(s): January 28, 2018
Received by editor(s) in revised form: October 31, 2019
Published electronically: January 23, 2020
Additional Notes: The first author’s research was partially supported by Simons Foundation grant 520542
The second author’s research was partially supported by a Grant-in-Aid for Science Research(C) (No. 17K05309), Japan Society for the Promotion of Science
Dedicated: Dedicated to Professor Masayoshi Takeda on the occasion of his 60th birthday
Article copyright: © Copyright 2020 Zhen-Qing Chen and Kaneharu Tsuchida