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Volumn 90, Issue 1, 2000, Pages 43-66

An infinite system of Brownian balls with infinite range interaction

Author keywords

Gibbs state; Hard core potential; Infinite range interaction; Interacting particle system; Percolation model; Skorohod equation

Indexed keywords


EID: 0037933505     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(00)00036-3     Document Type: Article
Times cited : (15)

References (15)
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    • to appear
    • Fradon, M., Roelly, S., 2000. Infinite dimensional diffusion processes with singular interaction. Bull. Sci. Math., to appear.
    • (2000) Bull. Sci. Math.
    • Fradon, M.1    Roelly, S.2
  • 2
    • 0001435734 scopus 로고
    • Gradient dynamics of infinite point systems
    • Fritz, J., 1987. Gradient dynamics of infinite point systems. Ann. Probab. 15, 478-514.
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    • Fritz, J.1
  • 4
    • 0002087414 scopus 로고
    • Unendlich-dimensionale Wienerprozesse mit Wechselwirkung
    • Lang, R., 1977a. Unendlich-dimensionale Wienerprozesse mit Wechselwirkung. Z. Wahrsch.-theor. verw. Gebiete 38, 55-72.
    • (1977) Z. Wahrsch.-theor. Verw. Gebiete , vol.38 , pp. 55-72
    • Lang, R.1
  • 5
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    • Unendlich-dimensionale Wienerprozesse mit Wechselwirkung. II
    • Lang, R., 1977b. Unendlich-dimensionale Wienerprozesse mit Wechselwirkung. II. Z. Wahrsch.-theor. verw. Gebiete 39, 277-299.
    • (1977) Z. Wahrsch.-theor. Verw. Gebiete , vol.39 , pp. 277-299
    • Lang, R.1
  • 6
    • 84990576543 scopus 로고
    • Stochastic differential equations with reflecting boundary conditions
    • Lions, P.L., Sznitman, A.S., 1984. Stochastic differential equations with reflecting boundary conditions. Comm. Pure Appl. Math. 37, 511-537.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 511-537
    • Lions, P.L.1    Sznitman, A.S.2
  • 7
    • 0030526567 scopus 로고    scopus 로고
    • Dirichlet form approach to infinite-dimensional Wiener processes with interaction
    • Osada, H., 1996. Dirichlet form approach to infinite-dimensional Wiener processes with interaction. Comm. Math. Phys. 176, 117-131.
    • (1996) Comm. Math. Phys. , vol.176 , pp. 117-131
    • Osada, H.1
  • 9
    • 0000605830 scopus 로고
    • Stochastic differential equations for multi-dimensional domain with reflecting boundary
    • Saisho, Y., 1987. Stochastic differential equations for multi-dimensional domain with reflecting boundary. Probab. Theory Related Fields 74, 455-477.
    • (1987) Probab. Theory Related Fields , vol.74 , pp. 455-477
    • Saisho, Y.1
  • 10
    • 84972560306 scopus 로고
    • Stochastic differential equations for mutually reflecting Brownian balls
    • Saisho, Y., Tanaka, H., 1986. Stochastic differential equations for mutually reflecting Brownian balls. Osaka J. Math. 23, 725-740.
    • (1986) Osaka J. Math. , vol.23 , pp. 725-740
    • Saisho, Y.1    Tanaka, H.2
  • 12
    • 84972526612 scopus 로고
    • Stochastic differential equations with reflecting boundary conditions in convex regions
    • Tanaka, H., 1979. Stochastic differential equations with reflecting boundary conditions in convex regions. Hiroshima Math. J. 9, 163-177.
    • (1979) Hiroshima Math. J. , vol.9 , pp. 163-177
    • Tanaka, H.1
  • 14
    • 0031256447 scopus 로고    scopus 로고
    • Uniqueness of Dirichlet forms associated with systems of infinitely many Brownian balls
    • Tanemura, H., 1997. Uniqueness of Dirichlet forms associated with systems of infinitely many Brownian balls. Probab. Theory Related Fields 109, 275-299.
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    • Tanemura, H.1
  • 15
    • 0000436663 scopus 로고    scopus 로고
    • Construction of infinite dimensional interacting diffusion processes through Dirichlet forms
    • Yoshida, M., 1996. Construction of infinite dimensional interacting diffusion processes through Dirichlet forms. Probab. Theory Related Fields 106, 265-297.
    • (1996) Probab. Theory Related Fields , vol.106 , pp. 265-297
    • Yoshida, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.