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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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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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
  • 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
  • © Copyright 2020 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
  • MathSciNet review: 4069239