A localization formula in Dirichlet form theory
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- by Zhen-Qing Chen and Masatoshi Fukushima PDF
- Proc. Amer. Math. Soc. 140 (2012), 1815-1822
Abstract:
A localization energy formula is established for symmetric Markov processes on Luzin spaces.References
- Z.-Q. Chen and M. Fukushima, Symmetric Markov Processes, Time Change, and Boundary Theory. Princeton University Press, to appear.
- Zhen-Qing Chen, Masatoshi Fukushima, and Jiangang Ying, Traces of symmetric Markov processes and their characterizations, Ann. Probab. 34 (2006), no. 3, 1052–1102. MR 2243879, DOI 10.1214/009117905000000657
- Zhen Qing Chen, Zhi Ming Ma, and Michael Röckner, Quasi-homeomorphisms of Dirichlet forms, Nagoya Math. J. 136 (1994), 1–15. MR 1309378, DOI 10.1017/S0027763000024934
- Masatoshi Fukushima, Y\B{o}ichi Ōshima, and Masayoshi Takeda, Dirichlet forms and symmetric Markov processes, De Gruyter Studies in Mathematics, vol. 19, Walter de Gruyter & Co., Berlin, 1994. MR 1303354, DOI 10.1515/9783110889741
- Sheng Wu He, Jia Gang Wang, and Jia An Yan, Semimartingale theory and stochastic calculus, Kexue Chubanshe (Science Press), Beijing; CRC Press, Boca Raton, FL, 1992. MR 1219534
Additional Information
- Zhen-Qing Chen
- Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
- MR Author ID: 242576
- ORCID: 0000-0001-7037-4030
- Email: zqchen@uw.edu
- Masatoshi Fukushima
- Affiliation: Branch of Mathematical Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
- Email: fuku2@mx5.canvas.ne.jp
- Received by editor(s): December 15, 2010
- Received by editor(s) in revised form: January 26, 2011
- Published electronically: September 12, 2011
- Additional Notes: The first author’s research was partially supported by NSF Grants DMS-0906743 and DMR-1035196.
The second author’s research was supported by Grant-in-Aid for Scientific Research of MEXT No. 19540125 - Communicated by: Richard C. Bradley
- © Copyright 2011 Zhen-Qing Chen and Masatoshi Fukushima
- Journal: Proc. Amer. Math. Soc. 140 (2012), 1815-1822
- MSC (2010): Primary 60J25, 31C25; Secondary 60J45, 60J50
- DOI: https://doi.org/10.1090/S0002-9939-2011-11036-0
- MathSciNet review: 2869166