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Some variational formulas on additive functionals of symmetric Markov chains


Authors: Daehong Kim, Masayoshi Takeda and Jiangang Ying
Journal: Proc. Amer. Math. Soc. 130 (2002), 2115-2123
MSC (2000): Primary 60F10, 60J20; Secondary 31C25
Published electronically: December 20, 2001
MathSciNet review: 1896048
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Abstract: For symmetric continuous time Markov chains, we obtain some formulas on total occupation times and limit theorems of additive functionals by using large deviation theory.


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Additional Information

Daehong Kim
Affiliation: Department of Mathematics, Pusan National University, Pusan, 609–735, Korea
Address at time of publication: Department of Systems and Information, Graduate School of Science and Technology, Kumamoto University, Kurokami, 2-39-1, Kumamoto 860-8555, Japan
Email: daehong@cs.kumamoto-u.ac.jp

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

Jiangang Ying
Affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
Email: jying@math.zju.edu.cn

DOI: https://doi.org/10.1090/S0002-9939-01-06308-0
Keywords: Additive functional, Dirichlet form, large deviation, symmetric Markov chain
Received by editor(s): May 20, 2000
Received by editor(s) in revised form: January 29, 2001
Published electronically: December 20, 2001
Additional Notes: The first author’s research was supported in part by Brain Korea 21
Communicated by: Claudia M. Neuhauser
Article copyright: © Copyright 2001 American Mathematical Society