메뉴 건너뛰기




Volumn 8, Issue 1, 1998, Pages 246-280

Directional decay of the green's function for a random nonnegative potential on ℤd

Author keywords

Asymptotic shape; First passage percolation; Green's function; Large deviations; Lyapounov exponent; Random potential; Random walk

Indexed keywords


EID: 0032392072     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (57)

References (23)
  • 1
    • 0000632378 scopus 로고
    • First passage percolation: The stationary case
    • BOIVIN, D. (1990). First passage percolation: the stationary case. Probab. Theory Related Fields 86 491-499.
    • (1990) Probab. Theory Related Fields , vol.86 , pp. 491-499
    • Boivin, D.1
  • 6
    • 0003200789 scopus 로고
    • Functional integration and partial differential equations
    • Princeton University Press
    • FREIDLIN, M. (1985). Functional Integration and Partial Differential Equations. Ann. Math. Stud. 109. Princeton University Press.
    • (1985) Ann. Math. Stud. , vol.109
    • Freidlin, M.1
  • 9
    • 0000264803 scopus 로고
    • Aspects of first passage percolation
    • Ecole d'Été de Probabilités de St. Flour. Springer, Berlin
    • KESTEN, H. (1986). Aspects of first passage percolation. Ecole d'Été de Probabilités de St. Flour. Lecture Notes in Math. 1180 125-264. Springer, Berlin.
    • (1986) Lecture Notes in Math. , vol.1180 , pp. 125-264
    • Kesten, H.1
  • 10
    • 0000872791 scopus 로고
    • On the speed of convergence in first-passage percolation
    • KESTEN, H. (1993). On the speed of convergence in first-passage percolation. Ann. Appl. Probab. 3 296-338.
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 296-338
    • Kesten, H.1
  • 11
    • 0039148519 scopus 로고
    • Loop condensation effects in the behavior of random walks
    • (M. Freidlin, ed.) Birkhäuser, Boston
    • KHANIN, K. M., MAZEL, A. E., SHLOSMAN, S. B. and SINAI, YA. G. (1994). Loop condensation effects in the behavior of random walks. In The Dynkin Festschrift (M. Freidlin, ed.) 167-184. Birkhäuser, Boston.
    • (1994) The Dynkin Festschrift , pp. 167-184
    • Khanin, K.M.1    Mazel, A.E.2    Shlosman, S.B.3    Sinai, Ya.G.4
  • 15
    • 0001691716 scopus 로고
    • Lectures on random media
    • Ecole d'Été de Probabilités de St. Flour. Springer, Berlin
    • MOLCHANOV, A. (1994). Lectures on random media. Ecole d'Été de Probabilités de St. Flour. Lecture Notes in Math. 1581 242-411. Springer, Berlin.
    • (1994) Lecture Notes in Math. , vol.1581 , pp. 242-411
    • Molchanov, A.1
  • 16
    • 0040332854 scopus 로고    scopus 로고
    • Private communication
    • NEWMAN, C. M. (1996). Private communication.
    • (1996)
    • Newman, C.M.1
  • 20
    • 84990623095 scopus 로고
    • Shape theorem, Lyapounov exponents, and large deviations for Brownian motion in a Poissonian potential
    • SZNITMAN, A. S. (1994). Shape theorem, Lyapounov exponents, and large deviations for Brownian motion in a Poissonian potential. Comm. Pure Appl. Math. 47 1655-1688.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 1655-1688
    • Sznitman, A.S.1
  • 21
    • 0001731641 scopus 로고
    • Crossing velocities and random lattice animals
    • SZNITMAN, A. S. (1995). Crossing velocities and random lattice animals. Ann. Probab. 23 1006-1023.
    • (1995) Ann. Probab. , vol.23 , pp. 1006-1023
    • Sznitman, A.S.1
  • 22
    • 0030372589 scopus 로고    scopus 로고
    • Distance fluctuations and Lyapounov exponents
    • SZNITMAN, A. S. (1996). Distance fluctuations and Lyapounov exponents. Ann. Probab. 24 1507-1530.
    • (1996) Ann. Probab. , vol.24 , pp. 1507-1530
    • Sznitman, A.S.1
  • 23
    • 0040926745 scopus 로고
    • Inequalities for the time constant in first-passage percolation
    • VAN DEN BERG, J. and KESTEN, H. (1993). Inequalities for the time constant in first-passage percolation. Ann. Appl. Probab. 3 56-80.
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 56-80
    • Van Den Berg, J.1    Kesten, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.