메뉴 건너뛰기




Volumn 32, Issue 27, 1999, Pages 5009-5016

Finite time and asymptotic behaviour of the maximal excursion of a random walk

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033538389     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/27/302     Document Type: Article
Times cited : (10)

References (24)
  • 1
    • 0041123186 scopus 로고
    • The winding angle distribution of an ordinary random walk
    • Rudnick J and Hu Y 1987 The winding angle distribution of an ordinary random walk J. Phys. A: Math. Gen. 20 4421-38
    • (1987) J. Phys. A: Math. Gen. , vol.20 , pp. 4421-4438
    • Rudnick, J.1    Hu, Y.2
  • 2
    • 0006930892 scopus 로고
    • Boundaries of constrained random flight polymer chains
    • Rubin R J and Weiss G H 1978 Boundaries of constrained random flight polymer chains Macromol. 11 1046-9
    • (1978) Macromol. , vol.11 , pp. 1046-1049
    • Rubin, R.J.1    Weiss, G.H.2
  • 6
    • 0001415476 scopus 로고
    • Mean first-passage time of random walks on a random lattice
    • Murthy K P N and Kehr K W 1989 Mean first-passage time of random walks on a random lattice Phys. Rev. A 40 2082-7
    • (1989) Phys. Rev. A , vol.40 , pp. 2082-2087
    • Murthy, K.P.N.1    Kehr, K.W.2
  • 7
    • 0040307478 scopus 로고
    • Anomalous diffusion in disordered media, statistical mechanisms, models and physical applications
    • Bouchaud J-P and Georges A 1990 Anomalous diffusion in disordered media, statistical mechanisms, models and physical applications Phys. Rep. 195 127-293
    • (1990) Phys. Rep. , vol.195 , pp. 127-293
    • Bouchaud, J.-P.1    Georges, A.2
  • 8
    • 21144478864 scopus 로고
    • First-passage probability of a random walk on a disordered one-dimensional lattice
    • Raykin M 1993 First-passage probability of a random walk on a disordered one-dimensional lattice J. Phys. A: Math. Gen. 26 449-66
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 449-466
    • Raykin, M.1
  • 9
    • 0033593185 scopus 로고    scopus 로고
    • Statistical and dynamical properties of the discrete sinai model at finite times
    • Chave J and Guitter E 1999 Statistical and dynamical properties of the discrete Sinai model at finite times J. Phys. A: Math. Gen. 32 445-68
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 445-468
    • Chave, J.1    Guitter, E.2
  • 10
    • 84952268653 scopus 로고
    • On certain limit theorems of the theory of probability
    • Erdos P and Kac M 1946 On certain limit theorems of the theory of probability Bull. Am. Math. Soc. 52 292-302
    • (1946) Bull. Am. Math. Soc. , vol.52 , pp. 292-302
    • Erdos, P.1    Kac, M.2
  • 12
    • 26744431713 scopus 로고
    • Analytical solutions for diffusion on fractal objects
    • O'Shaughnessy B and Procaccia I 1985 Analytical solutions for diffusion on fractal objects Phys. Rev. Lett. 54 455
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 455
    • O'Shaughnessy, B.1    Procaccia, I.2
  • 13
    • 0002387412 scopus 로고
    • Extrema statistics of Wiener-Einstein processes in one, two, and three dimensions
    • Seshadri V and Lindenberg K 1980 Extrema statistics of Wiener-Einstein processes in one, two, and three dimensions J. Stat. Phys. 22 69-79
    • (1980) J. Stat. Phys. , vol.22 , pp. 69-79
    • Seshadri, V.1    Lindenberg, K.2
  • 14
    • 0000641936 scopus 로고
    • Tracer dispersion in planar multipole flows
    • Koplik J, Redner S and Hinch E J 1994 Tracer dispersion in planar multipole flows Phys. Rev. E 50 4650-71
    • (1994) Phys. Rev. E , vol.50 , pp. 4650-4671
    • Koplik, J.1    Redner, S.2    Hinch, E.J.3
  • 15
    • 33744869564 scopus 로고
    • Renormalization of first-passage times for random walks on deterministic fractals
    • Van der Broeck C 1989 Renormalization of first-passage times for random walks on deterministic fractals Phys. Rev. A 40 7334-45
    • (1989) Phys. Rev. A , vol.40 , pp. 7334-7345
    • Van Der Broeck, C.1
  • 16
    • 0010515438 scopus 로고
    • First-passage time, survival probability and propagator on deterministic fractals
    • Yuste S B 1995 First-passage time, survival probability and propagator on deterministic fractals J. Phys. A: Math. Gen. 28 7027-38
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 7027-7038
    • Yuste, S.B.1
  • 17
    • 0032493583 scopus 로고    scopus 로고
    • Demonstration of a conjecture for random walks in d-dimensional Sierpinski fractals
    • Porrà J M and Yuste S B 1998 Demonstration of a conjecture for random walks in d-dimensional Sierpinski fractals J. Phys. A: Math. Gen. 31 6589-93
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 6589-6593
    • Porrà, J.M.1    Yuste, S.B.2
  • 20
  • 21
  • 24
    • 0002987658 scopus 로고
    • Generalized master equations for continuous-time random walks
    • Kenkre V M, Montroll E W and Shlesinger M F 1973 Generalized master equations for continuous-time random walks J. Stat. Phys. 9 45-50
    • (1973) J. Stat. Phys. , vol.9 , pp. 45-50
    • Kenkre, V.M.1    Montroll, E.W.2    Shlesinger, M.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.