@article{AIHPB_2005__41_3_419_0, author = {Fukushima, Masatoshi and Tanaka, Hiroshi}, title = {Poisson point processes attached to symmetric diffusions}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {419--459}, publisher = {Elsevier}, volume = {41}, number = {3}, year = {2005}, doi = {10.1016/j.anihpb.2004.10.004}, mrnumber = {2139028}, zbl = {1083.60065}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpb.2004.10.004/} }
TY - JOUR AU - Fukushima, Masatoshi AU - Tanaka, Hiroshi TI - Poisson point processes attached to symmetric diffusions JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2005 SP - 419 EP - 459 VL - 41 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpb.2004.10.004/ DO - 10.1016/j.anihpb.2004.10.004 LA - en ID - AIHPB_2005__41_3_419_0 ER -
%0 Journal Article %A Fukushima, Masatoshi %A Tanaka, Hiroshi %T Poisson point processes attached to symmetric diffusions %J Annales de l'I.H.P. Probabilités et statistiques %D 2005 %P 419-459 %V 41 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpb.2004.10.004/ %R 10.1016/j.anihpb.2004.10.004 %G en %F AIHPB_2005__41_3_419_0
Fukushima, Masatoshi; Tanaka, Hiroshi. Poisson point processes attached to symmetric diffusions. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 3, pp. 419-459. doi : 10.1016/j.anihpb.2004.10.004. http://www.numdam.org/articles/10.1016/j.anihpb.2004.10.004/
[1] Excursions of Markov Processes, Birkhäuser, Boston, 1992. | MR | Zbl
,[2] Markov Processes and Potential Theory, Academic Press, New York, 1968. | MR | Zbl
, ,[3] Quasi-homeomorphisms of Dirichlet forms, Nagoya Math. J. 136 (1994) 1-15. | MR | Zbl
, , ,[4] Probabilités et potentiel, Chap. XII, Hermann, Paris, 1987. | MR
, ,[5] Probabilités et potentiel, Chap. XVII-XXIV, Hermann, Paris, 1992.
, , ,[6] An application of flows to time shift and time reversal in stochastic processes, Trans. Amer. Math. Soc. 287 (1985) 613-619. | MR | Zbl
,[7] On the excursions of Markov processes in classical duality, Probab. Theory Related Fields 75 (1987) 159-178. | MR | Zbl
,[8] On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities, J. Math. Soc. Japan 21 (1969) 58-93. | MR | Zbl
,[9] Dirichlet Forms and Symmetric Markov Processes, de Gruyter, 1994. | MR | Zbl
, , ,[10] Excursions of a Markov process, Ann. Probab. 7 (1979) 244-266. | MR | Zbl
,[11] Excessive Measures, Birkhäuser, 1990. | MR | Zbl
,[12] Excursions of dual processes, Adv. Math. 45 (1982) 259-309. | MR | Zbl
, ,[13] The local structure of a class of diffusions and related problems, in: Lecture Notes in Math., vol. 330, 1973, pp. 124-159. | MR | Zbl
, ,[14] Stochastic Differential Equations and Diffusion Processes, North-Holland/Kodansha, 1981. | MR | Zbl
, ,[15] Poisson point processes attached to Markov processes, in: Proc. Sixth Berkeley Symp. Math. Statist. Probab. III, 1970, pp. 225-239. | MR | Zbl
,[16] Diffusion Processes and Their Sample Paths, Springer, 1970. | Zbl
, ,[17] D. Kim, On spectral gaps and exit time distributions for a non-smooth domain, Forum Math., in press. | MR | Zbl
[18] Dual Markovian semigroups and processes, in: Functional Analysis in Markov Processes, Proceedings, Katata and Kyoto, 1981, Lecture Notes in Math., vol. 923, 1982, pp. 47-75. | MR | Zbl
,[19] Introduction to the Theory of (Non-Symmetric) Dirichlet Forms, Springer-Verlag, 1992. | MR | Zbl
, ,[20] Processus de Poisson ponctuels, d'aprés K. Itô, in: Séminaire de Probab. V, Lecture Notes in Math., vol. 191, Springer, Berlin, 1971, pp. 177-190. | EuDML | Numdam | MR
,[21] Note sur l'interprétation des measures d'équilibre, in: Séminaire de Probab. VII, Lecture Notes in Math., vol. 321, 1973, pp. 210-216. | EuDML | Numdam | MR | Zbl
,[22] Time reversion of Markov processes, Nagoya Math. J. 24 (1964) 177-204. | MR | Zbl
,[23] Itô excursion theory via resolvents, Z. Wahrsch. Verw. Gebiete 63 (1983) 237-255. | MR | Zbl
,[24] On the Itô excursion process, Probab. Theory Related Fields 73 (1986) 319-350. | MR | Zbl
,[25] Construction of right processes from excursions, Probab. Theory Related Fields 73 (1986) 351-367. | MR | Zbl
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