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Volumn 139, Issue 1-2, 2007, Pages 41-64

Simple transient random walks in one-dimensional random environment: The central limit theorem

Author keywords

Central limit theorem; Quenched random environments; RWRE; Simple random walks

Indexed keywords


EID: 34250725447     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-006-0038-x     Document Type: Article
Times cited : (34)

References (10)
  • 1
    • 0033235808 scopus 로고    scopus 로고
    • Asymptotic behaviour for random walks in random environments
    • Alili, S.: Asymptotic behaviour for random walks in random environments. J. Appl. Probab. 36, 334-349 (1999)
    • (1999) J. Appl. Probab , vol.36 , pp. 334-349
    • Alili, S.1
  • 4
    • 0001607534 scopus 로고
    • Limit law for random walkin a random environment
    • Kesten, H., Kozlov, M. V., Spitzer, F.: Limit law for random walkin a random environment. Composite Mathematica 30, 145-168 (1975)
    • (1975) Composite Mathematica , vol.30 , pp. 145-168
    • Kesten, H.1    Kozlov, M.V.2    Spitzer, F.3
  • 5
    • 0001227265 scopus 로고
    • A random walk on a line with stochastic structure (in Russian)
    • Kozlov, M.V.: A random walk on a line with stochastic structure (in Russian). Probab. Theory Appl. 18, 406-408 (1973)
    • (1973) Probab. Theory Appl , vol.18 , pp. 406-408
    • Kozlov, M.V.1
  • 6
    • 34250693265 scopus 로고    scopus 로고
    • Mayer-Wolf, E., Roitershtein, A., Zeitouni, O.: Limit theorems for one-dimensional random walks in Markov random environments, Arxiv preprint math.0308154,2003-arxiv.org
    • Mayer-Wolf, E., Roitershtein, A., Zeitouni, O.: Limit theorems for one-dimensional random walks in Markov random environments, Arxiv preprint math.0308154,2003-arxiv.org
  • 7
    • 0002633818 scopus 로고
    • The limiting behavior of a one-dimensional random walk in a random medium
    • Sinai, Ya.G.: The limiting behavior of a one-dimensional random walk in a random medium. Theory Probab. Appl. 27, 256-268 (1982)
    • (1982) Theory Probab. Appl , vol.27 , pp. 256-268
    • Sinai, Y.G.1
  • 8
    • 0002967245 scopus 로고
    • Random walks in a random environment
    • Solomon, F.: Random walks in a random environment. Ann. Probab. 3, 1-31 (1975)
    • (1975) Ann. Probab , vol.3 , pp. 1-31
    • Solomon, F.1
  • 9
    • 9144263623 scopus 로고    scopus 로고
    • Topics in random walks in random environment
    • School and Conference on Probability Theory, Trieste
    • Sznitman, A.-S.: Topics in random walks in random environment. In: School and Conference on Probability Theory, ICTP Lecture Notes Series, Trieste, vol. 17, pp. 203-266 (2004)
    • (2004) ICTP Lecture Notes Series , vol.17 , pp. 203-266
    • Sznitman, A.-S.1
  • 10
    • 34250700169 scopus 로고    scopus 로고
    • Zeitouni, O.: Random walks in random environment, XXXI Summer school in Probability, St. Flour (2001). Lecture Notes in Mathematics, 1837, pp. 193-312. Springer, Berlin Heidelberg New York (2004)
    • Zeitouni, O.: Random walks in random environment, XXXI Summer school in Probability, St. Flour (2001). Lecture Notes in Mathematics, vol. 1837, pp. 193-312. Springer, Berlin Heidelberg New York (2004)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.