|
The uniqueness of symmetrizing measure of Markov processes
Author(s):
Jiangang
Ying;
Minzhi
Zhao
Journal:
Proc. Amer. Math. Soc.
138
(2010),
2181-2185.
MSC (2010):
Primary 60J45, 60J40
Posted:
January 28, 2010
MathSciNet review:
2596057
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
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:
-
- 1.
- R. Blumental and R. K. Getoor, Markov Processes and Potential Theory, Academic Press, New York, 1968. MR 0264757 (41:9348)
- 2.
- 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.
- 3.
- M. Fukushima, Y. Oshima and M. Takeda, Dirichlet Forms and Symmetric Markov Processes, Walter de Gruyter, Berlin, 1994. MR 1303354 (96f:60126)
- 4.
- M. J. Sharpe, General Theory of Markov Processes, Academic Press, Boston, MA, 1988. MR 958914 (89m:60169)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2010):
60J45, 60J40
Retrieve articles in all Journals with
MSC (2010):
60J45, 60J40
Additional Information:
Jiangang
Ying
Affiliation:
Department of Mathematics, Fudan University, Shanghai 200433, People's Republic of China
Minzhi
Zhao
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, People's Republic of China
DOI:
10.1090/S0002-9939-10-10239-1
PII:
S 0002-9939(10)10239-1
Keywords:
Symmetrizing measure,
linear diffusion,
Dirichlet space,
regular subspace
Received by editor(s):
July 24, 2009,
Received by editor(s) in revised form:
September 30, 2009
Posted:
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 of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|
