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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A tightness property of a symmetric Markov process and the uniform large deviation principle
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by Masayoshi Takeda PDF
Proc. Amer. Math. Soc. 141 (2013), 4371-4383 Request permission

Abstract:

Previously, we considered a large deviation for occupation measures of a symmetric Markov processes under the condition that its resolvent possesses a kind of tightness property. In this paper, we prove that if the Markov process is conservative, then the tightness property implies the uniform hyper-exponential recurrence, which leads us to the uniform large deviation principle.
References
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Additional Information
  • Masayoshi Takeda
  • Affiliation: Mathematical Institute, Tohoku University, Aoba, Sendai, 980-8578, Japan
  • MR Author ID: 211690
  • Email: takeda@math.tohoku.ac.jp
  • Received by editor(s): November 1, 2011
  • Received by editor(s) in revised form: February 13, 2012
  • Published electronically: August 21, 2013
  • Additional Notes: The author was supported in part by Grant-in-Aid for Scientific Research No. 22340024 (B), Japan Society for the Promotion of Science
  • Communicated by: Edward C. Waymire
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 4371-4383
  • MSC (2010): Primary 60F10; Secondary 60J45, 31C25
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11696-5
  • MathSciNet review: 3105879