Localization of random walks in one-dimensional random environments

A. O. Golosov

doi:10.1007/bf01215280

Localization of random walks in one-dimensional random environments

Communications in Mathematical Physics ◽

10.1007/bf01215280 ◽

1984 ◽

Vol 92 (4) ◽

pp. 491-506 ◽

Cited By ~ 74

Author(s):

A. O. Golosov

Keyword(s):

Random Walks ◽

Random Environments ◽

One Dimensional

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A Criterion for Applicability of the Central Limit Theorem to One-Dimensional Random Walks in Random Environments

Theory of Probability and Its Applications ◽

10.1137/1137107 ◽

1993 ◽

Vol 37 (3) ◽

pp. 553-557 ◽

Cited By ~ 1

Author(s):

A. V. Letchikov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Random Walks ◽

Central Limit ◽

Random Environments ◽

One Dimensional ◽

The Central Limit Theorem

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A Log-scale Limit Theorem for One-dimensional Random Walks in Random Environments

Electronic Communications in Probability ◽

10.1214/ecp.v10-1164 ◽

2005 ◽

Vol 10 (0) ◽

pp. 244-253

Author(s):

Alexander Roitershtein

Keyword(s):

Limit Theorem ◽

Random Walks ◽

Random Environments ◽

One Dimensional ◽

Scale Limit

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One-dimensional diffusions and random walks in random environments

Lecture Notes in Mathematics - Probability Theory and Mathematical Statistics ◽

10.1007/bfb0078472 ◽

1988 ◽

pp. 170-184 ◽

Cited By ~ 1

Author(s):

K. Kawazu ◽

Y. Tamura ◽

H. Tanaka

Keyword(s):

Random Walks ◽

Random Environments ◽

One Dimensional

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Zero-one law for directional transience of one-dimensional random walks in dynamic random environments

Electronic Communications in Probability ◽

10.1214/16-ecp4426 ◽

2016 ◽

Vol 21 (0) ◽

Author(s):

Tal Orenshtein ◽

Renato Soares dos Santos

Keyword(s):

Random Walks ◽

Random Environments ◽

One Dimensional

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A Zero or One Law for One Dimensional Random Walks in Random Environments

The Annals of Probability ◽

10.1214/aop/1176991783 ◽

1988 ◽

Vol 16 (2) ◽

pp. 722-729 ◽

Cited By ~ 5

Author(s):

Enrique D. Andjel

Keyword(s):

Random Walks ◽

Random Environments ◽

One Dimensional

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Random Walks, Reaction-Diffusion, and Nonequilibrium Dynamics of Spin Chains in One-Dimensional Random Environments

Physical Review Letters ◽

10.1103/physrevlett.80.3539 ◽

1998 ◽

Vol 80 (16) ◽

pp. 3539-3542 ◽

Cited By ~ 109

Author(s):

Daniel S. Fisher ◽

Pierre Le Doussal ◽

Cecile Monthus

Keyword(s):

Random Walks ◽

Reaction Diffusion ◽

Spin Chains ◽

Nonequilibrium Dynamics ◽

Random Environments ◽

One Dimensional

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Logarithmic speeds for one-dimensional perturbed random walks in random environments

Stochastic Processes and their Applications ◽

10.1016/j.spa.2007.04.011 ◽

2008 ◽

Vol 118 (3) ◽

pp. 389-416 ◽

Cited By ~ 3

Author(s):

M.V. Menshikov ◽

Andrew R. Wade

Keyword(s):

Random Walks ◽

Random Environments ◽

One Dimensional

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Limit theorems for one-dimensional diffusions and random walks in random environments

Probability Theory and Related Fields ◽

10.1007/bf00318905 ◽

1989 ◽

Vol 80 (4) ◽

pp. 501-541 ◽

Cited By ~ 8

Author(s):

Kiyoshi Kawazu ◽

Yozo Tamura ◽

Hiroshi Tanaka

Keyword(s):

Random Walks ◽

Limit Theorems ◽

Random Environments ◽

One Dimensional

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Occupation time theorems for one-dimensional random walks and diffusion processes in random environments

Stochastic Processes and their Applications ◽

10.1016/j.spa.2008.02.005 ◽

2009 ◽

Vol 119 (2) ◽

pp. 347-372

Author(s):

Yuji Kasahara ◽

Shinzo Watanabe

Keyword(s):

Random Walks ◽

Diffusion Processes ◽

Occupation Time ◽

Random Environments ◽

One Dimensional ◽

And Diffusion

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Quenched central limit theorem rates of convergence for one-dimensional random walks in random environments

Bernoulli ◽

10.3150/18-bej1024 ◽

2019 ◽

Vol 25 (2) ◽

pp. 1386-1411

Author(s):

Sung Won Ahn ◽

Jonathon Peterson

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Random Walks ◽

Central Limit ◽

Rates Of Convergence ◽

Random Environments ◽

One Dimensional ◽

Quenched Central Limit Theorem

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