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Volumn 25, Issue 4, 1997, Pages 1774-1788

The mean velocity of a Brownian motion in a random Lévy potential

Author keywords

Diffusion process; Random media; Random walk

Indexed keywords


EID: 0031319632     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1023481110     Document Type: Article
Times cited : (25)

References (17)
  • 2
    • 0001511096 scopus 로고
    • A one-dimensional diffusion process in a Wiener medium
    • BROX, T. (1986). A one-dimensional diffusion process in a Wiener medium. Ann. Probab. 14 1206-1218.
    • (1986) Ann. Probab. , vol.14 , pp. 1206-1218
    • Brox, T.1
  • 4
    • 0000968856 scopus 로고
    • On skew Brownian motion
    • HARRISON, J. M. and SHEPP, L. A. (1981). On skew Brownian motion. Ann. Probab. 9 309-313.
    • (1981) Ann. Probab. , vol.9 , pp. 309-313
    • Harrison, J.M.1    Shepp, L.A.2
  • 6
    • 84972573039 scopus 로고
    • Localization of diffusion processes in one-dimensional random environment
    • KAWAZU, K., TAMURA, Y. and TANAKA, H. (1992). Localization of diffusion processes in one-dimensional random environment. J. Math. Soc. Japan 44 515-550.
    • (1992) J. Math. Soc. Japan , vol.44 , pp. 515-550
    • Kawazu, K.1    Tamura, Y.2    Tanaka, H.3
  • 7
    • 0010823278 scopus 로고
    • On the maximum of diffusion process in a drifted Brownian environment
    • Springer, Berlin
    • KAWAZU, K. and TANAKA, H. (1991). On the maximum of diffusion process in a drifted Brownian environment. Séminaire de Probabilités XXVII. Lecture Notes in Math. 1557 78-85. Springer, Berlin.
    • (1991) Séminaire de Probabilités XXVII. Lecture Notes in Math. , vol.1557 , pp. 78-85
    • Kawazu, K.1    Tanaka, H.2
  • 9
    • 0001607534 scopus 로고
    • A limit law for random walk in a random environment
    • KESTEN, H., KOZLOV, M. V. and SPITZER, F. (1975). A limit law for random walk in a random environment. Compositio Math. 30 145-168.
    • (1975) Compositio Math. , vol.30 , pp. 145-168
    • Kesten, H.1    Kozlov, M.V.2    Spitzer, F.3
  • 10
    • 0001227265 scopus 로고
    • A random walk on the line with stochastic structure
    • KOZLOV, M. V. (1973). A random walk on the line with stochastic structure. Theory Probab. Appl. 18 406-408.
    • (1973) Theory Probab. Appl. , vol.18 , pp. 406-408
    • Kozlov, M.V.1
  • 11
    • 21844515537 scopus 로고
    • Zero white noise limit through Dirichlet forms, with application to diffusions in a random medium
    • MATHIEU, P. (1994). Zero white noise limit through Dirichlet forms, with application to diffusions in a random medium. Probab. Theory Related Fields 99 549-580.
    • (1994) Probab. Theory Related Fields , vol.99 , pp. 549-580
    • Mathieu, P.1
  • 12
    • 0039949177 scopus 로고
    • Limit theorems for diffusions with a random potential
    • MATHIEU, P. (1995). Limit theorems for diffusions with a random potential. Stochastic Process. Appl. 60 103-111.
    • (1995) Stochastic Process. Appl. , vol.60 , pp. 103-111
    • Mathieu, P.1
  • 16
    • 0002967245 scopus 로고
    • Random walks in a random environment
    • SOLOMON, F. (1975). Random walks in a random environment. Ann. Probab. 3 1-31.
    • (1975) Ann. Probab. , vol.3 , pp. 1-31
    • Solomon, F.1
  • 17
    • 0000075616 scopus 로고
    • A diffusion with a discontinuous local time
    • WALSH, J. B. (1978). A diffusion with a discontinuous local time. Astérisque 52-53 37-45.
    • (1978) Astérisque , vol.52-53 , pp. 37-45
    • Walsh, J.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.