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Volumn 40, Issue 5, 2004, Pages 635-659

Limit theorems for one-dimensional transient random walks in Markov environments

Author keywords

Branching; RWRE; Stable laws; Stochastic difference equations

Indexed keywords


EID: 4444347314     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpb.2004.01.003     Document Type: Article
Times cited : (27)

References (28)
  • 1
    • 0033235808 scopus 로고    scopus 로고
    • Asymptotic behavior for random walks in random environments
    • Alili S. Asymptotic behavior for random walks in random environments J. Appl. Probab. 36 1999 334-349
    • (1999) J. Appl. Probab. , vol.36 , pp. 334-349
    • Alili, S.1
  • 2
    • 4444300006 scopus 로고    scopus 로고
    • The Markov renewal theorem and related results
    • Alsmeyer G. The Markov renewal theorem and related results Markov Proc. Related Fields 3 1997 103-127
    • (1997) Markov Proc. Related Fields , vol.3 , pp. 103-127
    • Alsmeyer, G.1
  • 4
    • 4444254539 scopus 로고
    • Limit theorems for semi-Markov renewal theory for Markov chains
    • Athreya K.B. McDonald D. Ney P.E. Limit theorems for semi-Markov renewal theory for Markov chains Ann. Probab. 6 1978 809-814
    • (1978) Ann. Probab. , vol.6 , pp. 809-814
    • Athreya, K.B.1    McDonald, D.2    Ney, P.E.3
  • 5
    • 0000991156 scopus 로고
    • A new approach to the limit theory of recurrent Markov chains
    • Athreya K.B. Ney P.E. A new approach to the limit theory of recurrent Markov chains Trans. Amer. Math. Soc. 245 1978 493-501
    • (1978) Trans. Amer. Math. Soc. , vol.245 , pp. 493-501
    • Athreya, K.B.1    Ney, P.E.2
  • 6
    • 3543124867 scopus 로고
    • A renewal approach to the Perron-Frobenius theory of nonnegative kernels on general state spaces
    • Athreya K.B. Ney P.E. A renewal approach to the Perron-Frobenius theory of nonnegative kernels on general state spaces Math. Z. 179 1982 507-529
    • (1982) Math. Z. , vol.179 , pp. 507-529
    • Athreya, K.B.1    Ney, P.E.2
  • 7
    • 0036630898 scopus 로고    scopus 로고
    • On some random walks on ℤ in random medium
    • Bremont J. On some random walks on ℤ in random medium Ann. Probab. 30 2002 1266-1312
    • (2002) Ann. Probab. , vol.30 , pp. 1266-1312
    • Bremont, J.1
  • 8
    • 4444291184 scopus 로고
    • Replication of a multicomponent chain by the "lightning mechanism"
    • Chernov A.A. Replication of a multicomponent chain by the "lightning mechanism" Biophysics 12 1967 336-341
    • (1967) Biophysics , vol.12 , pp. 336-341
    • Chernov, A.A.1
  • 12
    • 0000732230 scopus 로고
    • Implicit renewal theory and tails of solutions of random equations
    • Goldie C.M. Implicit renewal theory and tails of solutions of random equations Ann. Appl. Probab. 1 1991 126-166
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 126-166
    • Goldie, C.M.1
  • 13
    • 0001607534 scopus 로고
    • A limit law for random walk in a random environment
    • Kesten H. Kozlov M.V. Spitzer F. A limit law for random walk in a random environment Comp. Math. 30 1975 145-168
    • (1975) Comp. Math. , vol.30 , pp. 145-168
    • Kesten, H.1    Kozlov, M.V.2    Spitzer, F.3
  • 14
    • 2942672026 scopus 로고
    • Random difference equations and renewal theory for products of random matrices
    • Kesten H. Random difference equations and renewal theory for products of random matrices Acta. Math. 131 1973 208-248
    • (1973) Acta. Math. , vol.131 , pp. 208-248
    • Kesten, H.1
  • 15
    • 0001661229 scopus 로고
    • Renewal theory for functionals of a Markov chain with general state space
    • Kesten H. Renewal theory for functionals of a Markov chain with general state space Ann. Probab. 2 1974 355-386
    • (1974) Ann. Probab. , vol.2 , pp. 355-386
    • Kesten, H.1
  • 16
    • 0001761035 scopus 로고
    • Generalized Poisson distributions as limits of sums for arrays of dependent random vectors
    • Kobus M. Generalized Poisson distributions as limits of sums for arrays of dependent random vectors J. Multivariate Anal. 52 1995 199-244
    • (1995) J. Multivariate Anal. , vol.52 , pp. 199-244
    • Kobus, M.1
  • 17
    • 0001227265 scopus 로고
    • A random walk on the line with stochastic structure
    • Kozlov S.M. A random walk on the line with stochastic structure Teoriya Veroyatnosti i Primeneniya 18 1973 406-408
    • (1973) Teoriya Veroyatnosti I Primeneniya , vol.18 , pp. 406-408
    • Kozlov, S.M.1
  • 18
  • 20
    • 4444336845 scopus 로고    scopus 로고
    • One-dimensional linear recursions with Markov-dependent coefficients
    • in preparation
    • A. Roitershtein, One-dimensional linear recursions with Markov-dependent coefficients, 2004, in preparation
    • (2004)
    • Roitershtein, A.1
  • 22
    • 0000053788 scopus 로고
    • On the theory of Markov renewal
    • Shurenkov V.M. On the theory of Markov renewal Theor. Probab. Appl. 29 1984 247-265
    • (1984) Theor. Probab. Appl. , vol.29 , pp. 247-265
    • Shurenkov, V.M.1
  • 23
    • 0002967245 scopus 로고
    • Random walks in random environments
    • Solomon F. Random walks in random environments Ann. Probab. 3 1975 1-31
    • (1975) Ann. Probab. , vol.3 , pp. 1-31
    • Solomon, F.1
  • 24
    • 0038433799 scopus 로고
    • On a central limit theorem for m-dependent sequences
    • Szewczak Z. On a central limit theorem for m-dependent sequences Bull. Polish Acad. Sci. 36 1988 327-331
    • (1988) Bull. Polish Acad. Sci. , vol.36 , pp. 327-331
    • Szewczak, Z.1
  • 25
    • 9144263623 scopus 로고    scopus 로고
    • Topics in random walks in random environment
    • ICTP Lecture Notes Series for the School and Conference on Probability Theory Trieste
    • Sznitman A.S. Topics in random walks in random environment 2002 ICTP Lecture Notes Series for the School and Conference on Probability Theory Trieste
    • (2002)
    • Sznitman, A.S.1
  • 26
    • 0035629762 scopus 로고    scopus 로고
    • More randomness of environment does not always slow down a random walk
    • Takacs C. More randomness of environment does not always slow down a random walk J. Theoret Probab. 14 3 2001 699-715
    • (2001) J. Theoret. Probab. , vol.14 , Issue.3 , pp. 699-715
    • Takacs, C.1
  • 27
    • 4444381641 scopus 로고
    • One-dimensional random walks in two-component chain
    • Temkin D.E. One-dimensional random walks in two-component chain Soviet Math. Dokl. 13 5 1972 1172-1176
    • (1972) Soviet Math. Dokl. , vol.13 , Issue.5 , pp. 1172-1176
    • Temkin, D.E.1
  • 28
    • 4444321966 scopus 로고    scopus 로고
    • Random walks in random environment
    • XXXI Summer School in Probability, St. Flour, 2001 Berlin: Springer
    • Zeitouni O. Random walks in random environment XXXI Summer School in Probability, St. Flour, 2001 Lecture Notes in Math. vol. 1837 2004 193-312 Springer Berlin
    • (2004) Lecture Notes in Math. , vol.1837 , pp. 193-312
    • Zeitouni, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.