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Volumn 25, Issue 4, 1997, Pages 1872-1894

A martingale approach to homogenization of unbounded random flows

Author keywords

Convection diffusion; Homogenization; Invariance principle; Martingale

Indexed keywords


EID: 0031323224     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1023481115     Document Type: Article
Times cited : (39)

References (23)
  • 2
    • 0000705763 scopus 로고
    • An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows
    • AVELLANEDA, M. and MAJDA, A. J. (1991). An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows. Comm. Math. Phys. 138 339-391.
    • (1991) Comm. Math. Phys. , vol.138 , pp. 339-391
    • Avellaneda, M.1    Majda, A.J.2
  • 4
    • 0040307478 scopus 로고
    • Anomalous diffusion in disordered media: Statistical mechanics, models and physical applications
    • BOUCHAUD, J.-P. and GEORGES, A. (1990). Anomalous diffusion in disordered media: statistical mechanics, models and physical applications. Phys. Rep. 195 127-293.
    • (1990) Phys. Rep. , vol.195 , pp. 127-293
    • Bouchaud, J.-P.1    Georges, A.2
  • 5
    • 0000047875 scopus 로고
    • Martingale central limit theorems
    • BROWN, B. M. (1971). Martingale central limit theorems. Ann. Math. Statist. 42 59-66.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 59-66
    • Brown, B.M.1
  • 8
    • 0009421567 scopus 로고
    • Random pseudodifferential operators and the stabilization of solutions of parabolic equations with random coefficients
    • DEDIK, P. E. and SUBIN, M. A. (1982). Random pseudodifferential operators and the stabilization of solutions of parabolic equations with random coefficients. Math. USSR Sb. 41 33-52.
    • (1982) Math. USSR Sb. , vol.41 , pp. 33-52
    • Dedik, P.E.1    Subin, M.A.2
  • 10
    • 0000238872 scopus 로고    scopus 로고
    • Anomalous diffusion in random flows
    • (K. M. Golden, G. R. Grimmet, R. D. James, G. W. Milton and P. N. Sen, eds.). Springer. To appear
    • FANNJIANG, C. A. ( 1997). Anomalous diffusion in random flows. In Mathematics of Multiscale Materials (K. M. Golden, G. R. Grimmet, R. D. James, G. W. Milton and P. N. Sen, eds.). Springer. To appear.
    • (1997) Mathematics of Multiscale Materials
    • Fannjiang, C.A.1
  • 13
    • 0002148462 scopus 로고
    • Central limit theorems for martingales with discrete or continuous time
    • HELLAND, I. S. (1982). Central limit theorems for martingales with discrete or continuous time. Scand. J. Statist. 9 79-94.
    • (1982) Scand. J. Statist. , vol.9 , pp. 79-94
    • Helland, I.S.1
  • 15
    • 0002902088 scopus 로고
    • The method of averaging and walks in inhomogeneous environments
    • KOZLOV, S. M. (1985). The method of averaging and walks in inhomogeneous environments. Russian Math. Surveys 40 73-145.
    • (1985) Russian Math. Surveys , vol.40 , pp. 73-145
    • Kozlov, S.M.1
  • 16
    • 84980080977 scopus 로고
    • On Harnack's theorem for elliptic differential equations
    • MOSER, J. (1961). On Harnack's theorem for elliptic differential equations. Comm. Pure Appl. Math. 14 577-591.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 577-591
    • Moser, J.1
  • 17
    • 0000374920 scopus 로고
    • Homogenization of a diffusion process in a divergence free random field
    • OELSCHLÄGER, K. (1988). Homogenization of a diffusion process in a divergence free random field. Ann. Probab. 16 1084-1126.
    • (1988) Ann. Probab. , vol.16 , pp. 1084-1126
    • Oelschläger, K.1
  • 19
    • 0001689286 scopus 로고
    • Boundary value problems with rapidly oscillating random coefficients
    • PAPANICOLAOU, G. C. and VARADHAN, S. R. S. (1982). Boundary value problems with rapidly oscillating random coefficients. Colloq. Math. Soc. János Bolyai 27 835-873.
    • (1982) Colloq. Math. Soc. János Bolyai , vol.27 , pp. 835-873
    • Papanicolaou, G.C.1    Varadhan, S.R.S.2
  • 20
    • 0016996078 scopus 로고
    • Random measures and their application to motion in an imcompressible fluid
    • PORT, S. C and STONE, C. J. (1976). Random measures and their application to motion in an imcompressible fluid. J. Appl. Probab. 13 499-506.
    • (1976) J. Appl. Probab. , vol.13 , pp. 499-506
    • Port, S.C.1    Stone, C.J.2
  • 22
    • 84966210969 scopus 로고
    • Weak convergence of stochastic processes defined on semiinfinite time intervals
    • STONE, C. (1963). Weak convergence of stochastic processes defined on semiinfinite time intervals. Proc. Amer. Math. Soc. 14 694-696.
    • (1963) Proc. Amer. Math. Soc. , vol.14 , pp. 694-696
    • Stone, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.