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Volumn 26, Issue 4, 1998, Pages 1433-1445

Lyapunov functions for random walks and strings in random environment

Author keywords

Disordered systems; Lyapunov exponents; Lyapunov function; Product of random matrices; Random medium; Random string; Random walk

Indexed keywords


EID: 0032237647     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (27)

References (20)
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  • 2
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    • Oscillation de produits de matrices aléatoires dont l'exposant de Lyapunov est nul
    • Springer, Berlin
    • BOUGEROL, P. (1986). Oscillation de produits de matrices aléatoires dont l'exposant de Lyapunov est nul. Lyapunov Exponents. Lecture Notes in Math. 1186 27-36. Springer, Berlin.
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  • 4
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    • One-dimensional branching random walk in a random environment: A classification
    • To appear
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    • (1997) Markov Processes Related Fields
    • Comets, F.1    Menshikov, M.2    Popov, S.3
  • 5
    • 0040012962 scopus 로고
    • On the lower limits of maxima and minima of Wiener process and partial sums
    • CSÁKI, E. (1978). On the lower limits of maxima and minima of Wiener process and partial sums. Z. Wahrsch. Verw. Gebiete 43 205-221.
    • (1978) Z. Wahrsch. Verw. Gebiete , vol.43 , pp. 205-221
    • Csáki, E.1
  • 6
    • 0041117305 scopus 로고
    • Simple random walk on the line in random environment
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    • (1986) Probab. Theory Related Fields , vol.72 , pp. 215-230
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  • 8
    • 0013119795 scopus 로고
    • Classification of Markov chains describing the evolution of a string of characters
    • in Russian
    • GAJRAT, A. S., MALYSHEV, V. A., MENSHIKOV, M. V. and PELIH, K. D. (1995). Classification of Markov chains describing the evolution of a string of characters. Uspehi Mat. Nauk 50 5-24 (in Russian).
    • (1995) Uspehi Mat. Nauk , vol.50 , pp. 5-24
    • Gajrat, A.S.1    Malyshev, V.A.2    Menshikov, M.V.3    Pelih, K.D.4
  • 10
    • 0032251983 scopus 로고    scopus 로고
    • The limits of Sinai's simple random walk in random environment
    • HU, Y. and SHI, Z. (1998). The limits of Sinai's simple random walk in random environment. Ann. Probab. 26 1477-1521.
    • (1998) Ann. Probab. , vol.26 , pp. 1477-1521
    • Hu, Y.1    Shi, Z.2
  • 11
    • 0001607534 scopus 로고
    • A limit law for random walk in a random environment
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    • (1975) Comp. Math. , vol.30 , pp. 145-168
    • Kesten, H.1    Kozlov, M.V.2    Spitzer, F.3
  • 12
    • 0001568878 scopus 로고
    • Recurrence and transience criteria for random walk in a random environment
    • KEY, E. S. (1984). Recurrence and transience criteria for random walk in a random environment. Ann. Probab. 12 529-560.
    • (1984) Ann. Probab. , vol.12 , pp. 529-560
    • Key, E.S.1
  • 13
    • 0001227265 scopus 로고
    • Random walk in one dimensional random medium
    • KOZLOV, M. V. (1973). Random walk in one dimensional random medium. Theory Probab. Appl. 18 387-388.
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    • Kozlov, M.V.1
  • 14
    • 0000305317 scopus 로고
    • Quelques propriétés des exposants caractéristiques
    • Springer, Berlin
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    • (1984) Lecture Notes in Math. , vol.1097 , pp. 305-396
    • Ledrappier, F.1
  • 15
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    • Interacting strings
    • in Russian
    • MALYSHEV, V. A. (1997). Interacting strings. Uspehi Mat. Nauk 52 59-86 (in Russian).
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  • 17
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    • A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems
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    • Oseledec, I.V.1
  • 19
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    • (1982) Theory Probab. Appl. , vol.27 , pp. 256-268
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  • 20
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.