Uniqueness of Dirichlet forms associated with systems of infinitely many Brownian balls in ℝd

Probability Theory and Related Fields

Volumn 109, Issue 2, 1997, Pages 275-299

  Tanemura, Hideki ^a  

^a CHIBA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031256447     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050133     Document Type: Article

References (19)

1. Bass, R.F., Hsu, P.: The semimartingale structure of reflecting Brownian motion. Proc. Amer. Math. Soc. 108, 1007-1010 (1990)
2. Bass, R.F., Hsu, P.: Some potential theory for reflecting Brownian motion in Höllder and Lipschitz domain. Ann. Probab. 19, 486-508 (1991)
3. Chen, Z.Q.: On reflecting diffusion processes and Skorohod decompositions. Probab. Theory Relat. Fields 94, 281-315 (1993)
4. Chen, Z.Q., Fitzsimmons, P.J., Williams, R.J.: Reflecting Brownian motions: quasi-martingales ans strong Cacciopolli sets. Potential Analysis 2, 219-243 (1993)
5. Fukushima, M.: A construction of reflecting barrier Brownian motions for bounded domains. Osaka J. Math. 4, 183-215 (1968)
6. Fukushima, M.: Regular representations of Dirichlet spaces. Trans. Amer. Math. Soc. 155, 455-473 (1971)
7. Fukushima, M.: Dirichlet forms, Caccioppoli sets and the Skorohod equations. In Proc. on Stochastic Equations, Hungary (Markus, eds.), Birkhäuser, 1996
8. Fukushima, M., Oshima, Y., Takeda, M.: Dirichlet forms and symmetric Markov processes. Walter de Gruyter, 1994
9. Fukushima, M., Tomisaki, M.: Construction and decomposition of reflecting diffusions on Lipschitz domains with Höllder cusps. Probab. Theory Relat. Fields 106, 521-557 (1996)
10. Georgii, H.O.: Canonical and grand canonical Gibbs states for continuum systems. Comm. Math. Phys. 48, 31-51 (1976)
11. Georgii, H.O.: Gibbs Measures and phase transitions. Walter de Gruyter (1988)
12. Lyons, T., Zheng, W.: A crossing estimate for the canonical process on a Dirichlet space and tightness result. Asterisque 157-158, 249-271 (1988)
13. Osada, H.: Dirichlet form approach to infinite-dimensional Wiener processes. Commun. Math. Phys. 176, 117-131 (1996)
14. Saisho, Y., Tanaka, H.: Stochastic differential equations for mutually reflecting Brownian balls. Osaka J. Math. 23, 725-740 (1986)
15. Takeda, M.: On a martingale method for symmetric diffusion processes and its application. Osaka J. Math. 26, 605-623 (1989)
16. Takeda, M.: The maximum Markovian self adjoint extensions of generalized Schrödinger operators. J. Math. Soc. Japan 44, 113-129 (1992)
17. d of jump type with hard core interaction. J. Math. Soc. Japan 41, 681-697 (1989)
18. d. CRM proceeding and Lecture Notes 5, 221-231 (1994)
19. d. Probab. Theory Relat. Fields 104, 399-426 (1996)