메뉴 건너뛰기




Volumn 34, Issue 2, 1998, Pages 217-248

An invariance principle for Markov processes and Brownian particles with singular interaction

Author keywords

An invariance principle for Markov processes

Indexed keywords


EID: 21844479334     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(98)80031-9     Document Type: Article
Times cited : (16)

References (29)
  • 1
    • 0001131105 scopus 로고
    • An invariance principle for reversible Markov processes. Applications to random motions in random environments
    • A. DE MASI et al., An invariance principle for reversible Markov processes. Applications to random motions in random environments, Joul. Stat. Phys., Vol. 55, Nos. 3/4 1989, pp. 787-855.
    • (1989) Joul. Stat. Phys. , vol.55 , Issue.3-4 , pp. 787-855
    • De Masi, A.1
  • 2
    • 0043257345 scopus 로고
    • On the vortex flow in bounded domains
    • D. DURR and M. PULVIRENTI, On the vortex flow in bounded domains, Commun. Math. Phys., Vol. 85, 1982, pp. 265-273.
    • (1982) Commun. Math. Phys. , vol.85 , pp. 265-273
    • Durr, D.1    Pulvirenti, M.2
  • 4
    • 0001435734 scopus 로고
    • Gradient dynamics of infinite point systems
    • J. FRITZ, Gradient dynamics of infinite point systems, Ann. Prob., Vol. 15, 1987, pp. 478-514.
    • (1987) Ann. Prob. , vol.15 , pp. 478-514
    • Fritz, J.1
  • 5
    • 84990617933 scopus 로고
    • Convergence of the random vortex method
    • J. GOODMAN , Convergence of the random vortex method. Commun. Pure Appl. Math., Vol. 40, 1987, pp. 189-220.
    • (1987) Commun. Pure Appl. Math. , vol.40 , pp. 189-220
    • Goodman, J.1
  • 7
    • 84972575330 scopus 로고
    • Stochastic calculus related to non-symmetric Dirichlet forms
    • J. H. KIM, Stochastic calculus related to non-symmetric Dirichlet forms, Osaka Jour. Math., Vol. 24, 1987, pp. 331-371.
    • (1987) Osaka Jour. Math. , vol.24 , pp. 331-371
    • Kim, J.H.1
  • 8
    • 34250130646 scopus 로고
    • Central limit theorems for additive functional of reversible Markov process and applications to simple exclusions
    • C. KIPNIS and S. R. S. VARADHAN, Central limit theorems for additive functional of reversible Markov process and applications to simple exclusions, Commun. Math. Phys., Vol. 104, 1986, pp. 1-19.
    • (1986) Commun. Math. Phys. , vol.104 , pp. 1-19
    • Kipnis, C.1    Varadhan, S.R.S.2
  • 9
    • 0002087414 scopus 로고
    • Unendlich-dimensionale Wienerprocesse mit Wechselwirkung I
    • R. LANG, Unendlich-dimensionale Wienerprocesse mit Wechselwirkung I, Z. Wahrschverw. Gebiete, Vol. 38, 1977, pp. 55-72.
    • (1977) Z. Wahrschverw. Gebiete , vol.38 , pp. 55-72
    • Lang, R.1
  • 10
    • 0041114569 scopus 로고
    • Unendlich-dimensionale Wienerprocesse mit Wechselwirkung II
    • R. LANG, Unendlich-dimensionale Wienerprocesse mit Wechselwirkung II, Z. Wahrschverw. Gebiete, Vol. 39, 1978, pp. 277-299.
    • (1978) Z. Wahrschverw. Gebiete , vol.39 , pp. 277-299
    • Lang, R.1
  • 11
    • 0000852622 scopus 로고
    • Hydrodynamic in two dimensions and vortex theory
    • C. MARCHIORO and M. PULVIRENTI, Hydrodynamic in two dimensions and vortex theory, Commun. Math. Phys., Vol. 84, 1982, pp. 483-503.
    • (1982) Commun. Math. Phys. , vol.84 , pp. 483-503
    • Marchioro, C.1    Pulvirenti, M.2
  • 13
    • 0013199902 scopus 로고
    • Homogenization of diffusion processes in random fields
    • S. OLLA, Homogenization of diffusion processes in random fields, Ecole Polytechnique, 1994.
    • (1994) Ecole Polytechnique
    • Olla, S.1
  • 14
    • 0040102518 scopus 로고
    • Diffusion processes with generators of generalized divergence form
    • H. OSADA, Diffusion processes with generators of generalized divergence form, J. Math. Kyoto Univ., Vol. 27, 1987, pp. 597-619.
    • (1987) J. Math. Kyoto Univ. , vol.27 , pp. 597-619
    • Osada, H.1
  • 15
    • 21844472480 scopus 로고
    • A stochastic differential equation arising from the vortex problem
    • Ser. A
    • H. OSADA, A stochastic differential equation arising from the vortex problem, Proc. Japan Acad., Vol. 61, Ser. A, 1985.
    • (1985) Proc. Japan Acad. , vol.61
    • Osada, H.1
  • 16
  • 17
    • 84972516321 scopus 로고
    • Homogenization of reflecting barrier Brownian motions
    • Proc. the Taniguchi Workshop at Sanda and Kyoto, 1990
    • H. OSADA, Homogenization of reflecting barrier Brownian motions, Proc. the Taniguchi Workshop at Sanda and Kyoto, 1990, Pitman Research notes in Math., Vol. 283, 1993, pp. 59-74.
    • (1993) Pitman Research Notes in Math. , vol.283 , pp. 59-74
    • Osada, H.1
  • 18
    • 0030526567 scopus 로고    scopus 로고
    • Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions
    • H. OSADA, Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions, Commun. Math. Phys., Vol. 176, 1996, pp. 117-131.
    • (1996) Commun. Math. Phys. , vol.176 , pp. 117-131
    • Osada, H.1
  • 21
    • 21844499523 scopus 로고
    • An invariance principle for non-symmetric Markov processes and reflecting diffusions in random domains
    • H. OSADA and T. SAITOH, An invariance principle for non-symmetric Markov processes and reflecting diffusions in random domains, Probab. Theory Relat. Fields, Vol. 101, 1995. pp. 45-63.
    • (1995) Probab. Theory Relat. Fields , vol.101 , pp. 45-63
    • Osada, H.1    Saitoh, T.2
  • 24
    • 0001174680 scopus 로고
    • Superstable interactions in classical statistical mechanics
    • D. RUELLE, Superstable interactions in classical statistical mechanics, Commun. Math. Phys., Vol. 18, 1970, pp. 127-159.
    • (1970) Commun. Math. Phys. , vol.18 , pp. 127-159
    • Ruelle, D.1
  • 25
    • 0013398075 scopus 로고
    • A remark on infinite-dimensional Wiener processes with interactions
    • T. SHIGA, A remark on infinite-dimensional Wiener processes with interactions, Z. Wahrschverw. Gebiete, Vol. 47, 1979, pp. 299-304
    • (1979) Z. Wahrschverw. Gebiete , vol.47 , pp. 299-304
    • Shiga, T.1
  • 29
    • 0000631918 scopus 로고
    • Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion
    • S. R. S. VARADHAN, Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion, Ann. Inst. Henri Poincaré, Vol. 31, 1, 1995, pp. 273-285.
    • (1995) Ann. Inst. Henri Poincaré , vol.31 , Issue.1 , pp. 273-285
    • Varadhan, S.R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.