The uniqueness of symmetrizing measure of Markov processes
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- by Jiangang Ying and Minzhi Zhao PDF
- Proc. Amer. Math. Soc. 138 (2010), 2181-2185 Request permission
Abstract:
In this short article, we shall introduce the notion of fine irreducibility and give some of its equivalent statements. Then we prove that the fine irreducibility implies the uniqueness of symmetrizing measures for a right Markov process.References
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- Z. Q. Chen and M. Fukushima, Symmetric Markov Processes, Time Change and Boundary Theory, available at http://www.math.washington.edu/ zchen/CF/cfbook-PUP32.pdf.
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- Michael Sharpe, General theory of Markov processes, Pure and Applied Mathematics, vol. 133, Academic Press, Inc., Boston, MA, 1988. MR 958914
Additional Information
- Jiangang Ying
- Affiliation: Department of Mathematics, Fudan University, Shanghai 200433, People’s Republic of China
- MR Author ID: 332043
- Minzhi Zhao
- Affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
- Received by editor(s): July 24, 2009
- Received by editor(s) in revised form: September 30, 2009
- Published electronically: January 28, 2010
- Additional Notes: The research of the first author was supported in part by NSFC Grant No. 10771131
The research of the second author was supported in part by NSFC Grant No. 10601047 - Communicated by: Richard C. Bradley
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 2181-2185
- MSC (2010): Primary 60J45, 60J40
- DOI: https://doi.org/10.1090/S0002-9939-10-10239-1
- MathSciNet review: 2596057