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Volumn 25, Issue 4, 1997, Pages 1735-1773

Critical large deviations of one-dimensional annealed Brownian motion in a Poissonian potential

Author keywords

Brownian motion with drift; Large deviations; Poisson potential

Indexed keywords


EID: 0031322611     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1023481109     Document Type: Article
Times cited : (8)

References (13)
  • 1
    • 0010872524 scopus 로고
    • Localization of a two dimensional random walk with an attractive path interaction
    • BOLTHAUSEN, E. (1994). Localization of a two dimensional random walk with an attractive path interaction. Ann. Probab. 22 875-918.
    • (1994) Ann. Probab. , vol.22 , pp. 875-918
    • Bolthausen, E.1
  • 4
    • 0012041945 scopus 로고
    • Asymptotics for the Wiener sausage with drift
    • EISELE, T. and LANG, R. (1987). Asymptotics for the Wiener sausage with drift. Probab. Theory Related Fields 74 125-140.
    • (1987) Probab. Theory Related Fields , vol.74 , pp. 125-140
    • Eisele, T.1    Lang, R.2
  • 5
    • 0000463542 scopus 로고
    • Diffusion and drift in a medium with randomly distributed traps
    • GRASSBERGER, P. and PROCACCIA, I. (1982). Diffusion and drift in a medium with randomly distributed traps. Phys. Rev. A 26 3686-3688.
    • (1982) Phys. Rev. A , vol.26 , pp. 3686-3688
    • Grassberger, P.1    Procaccia, I.2
  • 6
    • 0012072405 scopus 로고
    • On weak convergence of conditional survival measure of one dimensional Brownian motion with drift
    • POVEL, T. (1995). On weak convergence of conditional survival measure of one dimensional Brownian motion with drift. Ann. Appl. Probab. 5 222-238.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 222-238
    • Povel, T.1
  • 7
    • 0012100855 scopus 로고
    • Convergence of the normalized one dimensional Wiener sausage path measures to a mixture of Brownian taboo processes
    • SCHMOCK, U. (1990). Convergence of the normalized one dimensional Wiener sausage path measures to a mixture of Brownian taboo processes. Stochastics Stochastics Rep. 29 171-183.
    • (1990) Stochastics Stochastics Rep. , vol.29 , pp. 171-183
    • Schmock, U.1
  • 8
    • 0039949207 scopus 로고
    • On long excursions of Brownian motion among Poisonian obstacles
    • (M. Barlow and N. Bingham, eds.). Cambridge Univ. Press
    • SZNITMAN, A. S. (1991). On long excursions of Brownian motion among Poisonian obstacles. In Stochastic Analysis (M. Barlow and N. Bingham, eds.) 353-375. Cambridge Univ. Press.
    • (1991) Stochastic Analysis , pp. 353-375
    • Sznitman, A.S.1
  • 9
    • 84990575201 scopus 로고
    • On the confinement property of two dimensional Brownian motion among Poissonian obstacles
    • SZNITMAN, A. S. (1991). On the confinement property of two dimensional Brownian motion among Poissonian obstacles. Comm. Pure Appl. Math. 44 1137-1170.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 1137-1170
    • Sznitman, A.S.1
  • 10
    • 21344481284 scopus 로고
    • Brownian motion in a Poisson potential
    • SZNITMAN, A. S. (1993). Brownian motion in a Poisson potential. Probab. Theory Related Fields 97 447-477.
    • (1993) Probab. Theory Related Fields , vol.97 , pp. 447-477
    • Sznitman, A.S.1
  • 11
    • 0041136084 scopus 로고
    • Brownian motion and obstacles
    • (A. Joseph, F. Mignot, F. Murat, B. Prum and R. Rentschler, eds.). Birkhäuser, Basel
    • SZNITMAN, A. S. (1994). Brownian motion and obstacles. In First European Congress of Mathematics (A. Joseph, F. Mignot, F. Murat, B. Prum and R. Rentschler, eds.) 225-248. Birkhäuser, Basel.
    • (1994) First European Congress of Mathematics , pp. 225-248
    • Sznitman, A.S.1
  • 12
    • 0009388795 scopus 로고
    • Annealed Lyapounov exponents and large deviations in a Poissonian potential I, II
    • SZNITMAN, A. S. (1995). Annealed Lyapounov exponents and large deviations in a Poissonian potential I, II. Ann. Sci. École Norm. Sup. (4) 28 345-390.
    • (1995) Ann. Sci. École Norm. Sup. (4) , vol.28 , pp. 345-390
    • Sznitman, A.S.1
  • 13
    • 0031484967 scopus 로고    scopus 로고
    • Capacity and principal eigenvalues: The method of enlargement of obstacles revisited
    • SZNITMAN, A. S. (1997). Capacity and principal eigenvalues: the method of enlargement of obstacles revisited. Ann. Probab. 25 1180-1209.
    • (1997) Ann. Probab. , vol.25 , pp. 1180-1209
    • Sznitman, A.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.