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Volumn 29, Issue 2, 2001, Pages 636-682

Long-time tails in the parabolic Anderson model with bounded potential

Author keywords

Almost sure asymptotics; Dirichlet eigenvalues; Intermittency; Large deviations; Lifshitz tails; Moment asymptotics; Parabolic Anderson model; Percolation

Indexed keywords


EID: 0035537280     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1008956688     Document Type: Article
Times cited : (54)

References (23)
  • 2
    • 0000139890 scopus 로고
    • Enlargement of obstacles for the simple random walk
    • ANTAL, P. (1995). Enlargement of obstacles for the simple random walk. Ann. Probab. 23 1061-1101.
    • (1995) Ann. Probab. , vol.23 , pp. 1061-1101
    • Antal, P.1
  • 5
    • 0007324432 scopus 로고    scopus 로고
    • Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model
    • To appear
    • BISKUP, M. and KÖNIG, W. (2000). Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model. J. Statist. Phys. To appear.
    • (2000) J. Statist. Phys.
    • Biskup, M.1    König, W.2
  • 6
    • 0031520572 scopus 로고    scopus 로고
    • A model of continuous polymers with random charges
    • BUFFET, E. and PULE, J. V. (1997). A model of continuous polymers with random charges. J. Math. Phys. 38 5143-5152.
    • (1997) J. Math. Phys. , vol.38 , pp. 5143-5152
    • Buffet, E.1    Pule, J.V.2
  • 11
    • 84980196462 scopus 로고
    • On the number of distinct sites visited by a random walk
    • DONSKER, M. and VARADHAN, S. R. S. (1979). On the number of distinct sites visited by a random walk. Comm. Pure Appl. Math. 32 721-747.
    • (1979) Comm. Pure Appl. Math. , vol.32 , pp. 721-747
    • Donsker, M.1    Varadhan, S.R.S.2
  • 12
    • 0000412970 scopus 로고
    • On the uniqueness of the infinite occupied cluster in dependent two-dimensional site percolation
    • GANDOLFI, A., KEANE, M. and RUSSO, L. (1988). On the uniqueness of the infinite occupied cluster in dependent two-dimensional site percolation. Ann. Probab. 16 1147-1157.
    • (1988) Ann. Probab. , vol.16 , pp. 1147-1157
    • Gandolfi, A.1    Keane, M.2    Russo, L.3
  • 13
    • 0039425362 scopus 로고    scopus 로고
    • Correlation structure of intermittency in the parabolic Anderson model
    • GÄRTNER, J. and DEN HOLLANDER, F. (1999). Correlation structure of intermittency in the parabolic Anderson model. Probab. Theory Related Fields 114 1-54.
    • (1999) Probab. Theory Related Fields , vol.114 , pp. 1-54
    • Gärtner, J.1    Den Hollander, F.2
  • 14
    • 0034344336 scopus 로고    scopus 로고
    • Moment asymptotics for the continuous parabolic Anderson model
    • GÄRTNER, J. and KÖNIG, W. (2000). Moment asymptotics for the continuous parabolic Anderson model. Ann. Appl. Probab. 10 192-217.
    • (2000) Ann. Appl. Probab. , vol.10 , pp. 192-217
    • Gärtner, J.1    König, W.2
  • 15
    • 0007186249 scopus 로고    scopus 로고
    • Almost sure asymptotics for the continuous parabolic Anderson model
    • To appear
    • GÄRTNER, J., KÖNIG, W. and MOLCHANOV, S. (1999). Almost sure asymptotics for the continuous parabolic Anderson model. Probab. Theory Related Fields. To appear.
    • (1999) Probab. Theory Related Fields
    • Gärtner, J.1    König, W.2    Molchanov, S.3
  • 17
    • 0001265030 scopus 로고
    • Parabolic problems for the Anderson model I. Intermittency and related topics
    • GÄRTNER, J. and MOLCHANOV, S. (1990). Parabolic problems for the Anderson model I. Intermittency and related topics. Comm. Math. Phys. 132 613-655.
    • (1990) Comm. Math. Phys. , vol.132 , pp. 613-655
    • Gärtner, J.1    Molchanov, S.2
  • 18
    • 0040633191 scopus 로고    scopus 로고
    • Parabolic problems for the Anderson model. II. Second-order asymptotics and structure of high peaks
    • GÄRTNER, J. and MOLCHANOV, S. (1998). Parabolic problems for the Anderson model. II. Second-order asymptotics and structure of high peaks. Probab. Theory Related Fields 111 17-55.
    • (1998) Probab. Theory Related Fields , vol.111 , pp. 17-55
    • Gärtner, J.1    Molchanov, S.2
  • 21
    • 0004148844 scopus 로고    scopus 로고
    • Amer. Math. Soc., Providence, RI
    • LIEB, E.H. and LOSS, M. (1997). Analysis. Amer. Math. Soc., Providence, RI.
    • (1997) Analysis
    • Lieb, E.H.1    Loss, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.