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Volumn 57, Issue 6, 2005, Pages 900-912

Correlated brownian motions as an approximation to deterministic mean-field dynamics

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EID: 28844460531     PISSN: 00415995     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11253-005-0238-z     Document Type: Article
Times cited : (3)

References (25)
  • 2
    • 0032517972 scopus 로고    scopus 로고
    • Fractional step method for stochastic evolution equations
    • N. Goncharuk and P. Kotelenez, "Fractional step method for stochastic evolution equations," Stochast. Process. Appl., 73, 1-45 (1998).
    • (1998) Stochast. Process. Appl. , vol.73 , pp. 1-45
    • Goncharuk, N.1    Kotelenez, P.2
  • 8
    • 0001697196 scopus 로고
    • The motion of a heavy particle in an infinite one-dimensional gas of hard spheres
    • R. Holley, "The motion of a heavy particle in an infinite one-dimensional gas of hard spheres," Z. Wahrscheinlichkeitstheor. Verw. Geb., 17, 181-219 (1971).
    • (1971) Z. Wahrscheinlichkeitstheor. Verw. Geb. , vol.17 , pp. 181-219
    • Holley, R.1
  • 9
    • 0000665482 scopus 로고
    • One-dimensional classical massive particle in the ideal gas
    • Ya. G. Sinai and M. R. Soloveichik, "One-dimensional classical massive particle in the ideal gas," Commun. Math. Phys., 104, 423-443 (1986).
    • (1986) Commun. Math. Phys. , vol.104 , pp. 423-443
    • Sinai, Ya.G.1    Soloveichik, M.R.2
  • 10
    • 4243554744 scopus 로고
    • Bounds for the limiting variance of the "Heavy Particle" in R
    • D. Szász and B. Tóth, "Bounds for the limiting variance of the "Heavy Particle" in R," Commun. Math. Phys., 104, 445-455 (1986).
    • (1986) Commun. Math. Phys. , vol.104 , pp. 445-455
    • Szász, D.1    Tóth, B.2
  • 11
    • 4243389322 scopus 로고
    • Towards a unified dynamical theory of the Brownian particle in an Ideal gas
    • D. Szász and B. Tóth, "Towards a unified dynamical theory of the Brownian particle in an Ideal gas," Commun. Math. Phys., 111, 41-62 (1986).
    • (1986) Commun. Math. Phys. , vol.111 , pp. 41-62
    • Szász, D.1    Tóth, B.2
  • 15
    • 28844474770 scopus 로고    scopus 로고
    • P. Kotelenez, M. Leitman, and J. A. Mann (Jr.) (manuscript in preparation)
    • P. Kotelenez, M. Leitman, and J. A. Mann (Jr.) (manuscript in preparation).
  • 16
    • 36149005118 scopus 로고
    • On the theory of the Brownian motion
    • G. E. Uhlenbeck and L. S. Ornstein, "On the theory of the Brownian motion," Phys. Rev., 36, 823-841 (1930).
    • (1930) Phys. Rev. , vol.36 , pp. 823-841
    • Uhlenbeck, G.E.1    Ornstein, L.S.2
  • 19
    • 28844472791 scopus 로고
    • Newtonian particle mechanics and stochastic partial differential equations
    • D. A. Dawson (editor), Centre Recherche Math. CRM Proc., Lecture Notes
    • P. Kotelenez and K. Wang, "Newtonian particle mechanics and stochastic partial differential equations," in: D. A. Dawson (editor), Measure Valued Processes, Stochastic Partial Differential Equations and Interacting Systems, Centre Recherche Math. CRM Proc., Lecture Notes, 5, 130-149 (1994).
    • (1994) Measure Valued Processes, Stochastic Partial Differential Equations and Interacting Systems , vol.5 , pp. 130-149
    • Kotelenez, P.1    Wang, K.2
  • 20
    • 21844514446 scopus 로고
    • Class of quasilinear stochastic partial differential equations of McKean-Vlasov type with mass conservation
    • P. Kotelenez, "Class of quasilinear stochastic partial differential equations of McKean-Vlasov type with mass conservation," Probab. Theory Relat. Fields, 102, 159-188 (1995).
    • (1995) Probab. Theory Relat. Fields , vol.102 , pp. 159-188
    • Kotelenez, P.1
  • 22
    • 28844470196 scopus 로고
    • Private Communication
    • D. A Dawson, Private Communication, 1993.
    • (1993)
    • Dawson, D.A.1
  • 23
    • 0003218624 scopus 로고
    • On the semigroup approach to stochastic evolution equations
    • L. Arnold and P. Kotelenez (editors), Reidel
    • P. Kotelenez, "On the semigroup approach to stochastic evolution equations," in: L. Arnold and P. Kotelenez (editors), Stochastic Space-Time Models and Limit Theorems, Reidel (1985), pp. 95-139.
    • (1985) Stochastic Space-time Models and Limit Theorems , pp. 95-139
    • Kotelenez, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.