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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A tightness property of a symmetric Markov process and the uniform large deviation principle


Author: Masayoshi Takeda
Journal: Proc. Amer. Math. Soc. 141 (2013), 4371-4383
MSC (2010): Primary 60F10; Secondary 60J45, 31C25
Published electronically: August 21, 2013
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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.


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Additional Information

Masayoshi Takeda
Affiliation: Mathematical Institute, Tohoku University, Aoba, Sendai, 980-8578, Japan
Email: takeda@math.tohoku.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11696-5
PII: S 0002-9939(2013)11696-5
Keywords: Large deviation, symmetric Markov process, Dirichlet form
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
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.