Quenched limits for transient, ballistic, sub-Gaussian one-dimensional random walk in random environment

Jonathon Peterson

doi:10.1214/08-aihp149

Quenched limits for transient, ballistic, sub-Gaussian one-dimensional random walk in random environment

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1214/08-aihp149 ◽

2009 ◽

Vol 45 (3) ◽

pp. 685-709 ◽

Cited By ~ 1

Author(s):

Jonathon Peterson

Keyword(s):

Random Walk ◽

Random Environment ◽

One Dimensional

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Quenched, annealed and functional large deviations for one-dimensional random walk in random environment

Probability Theory and Related Fields ◽

10.1007/s004400000074 ◽

2000 ◽

Vol 118 (1) ◽

pp. 65-114 ◽

Cited By ~ 46

Author(s):

Francis Comets ◽

Nina Gantert ◽

Ofer Zeitouni

Keyword(s):

Random Walk ◽

Large Deviations ◽

Random Environment ◽

One Dimensional

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Strong transience of one-dimensional random walk in a random environment

Electronic Communications in Probability ◽

10.1214/ecp.v20-4352 ◽

2015 ◽

Vol 20 (0) ◽

Cited By ~ 2

Author(s):

Jonathon Peterson

Keyword(s):

Random Walk ◽

Random Environment ◽

One Dimensional

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Precise large deviation estimates for a one-dimensional random walk in a random environment

Probability Theory and Related Fields ◽

10.1007/s004400050206 ◽

1999 ◽

Vol 113 (2) ◽

pp. 191-219 ◽

Cited By ~ 11

Author(s):

Agoston Pisztora ◽

Tobias Povel ◽

Ofer Zeitouni

Keyword(s):

Random Walk ◽

Random Environment ◽

Large Deviation ◽

One Dimensional ◽

Precise Large Deviation

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Quenched, annealed and functional large deviations for one-dimensional random walk in random environment

Probability Theory and Related Fields ◽

10.1007/s00440-002-0234-2 ◽

2003 ◽

Vol 125 (1) ◽

pp. 42-44

Author(s):

Francis Comets ◽

Nina Gantert ◽

Ofer Zeitouni

Keyword(s):

Random Walk ◽

Large Deviations ◽

Random Environment ◽

One Dimensional

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Tail estimates for one-dimensional non nearest-neighbor random walk in random environment

Science China Mathematics ◽

10.1007/s11425-009-0145-0 ◽

2009 ◽

Vol 53 (2) ◽

pp. 475-484

Author(s):

ZhiQiang Gao

Keyword(s):

Random Walk ◽

Random Environment ◽

Nearest Neighbor ◽

One Dimensional

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On limiting distributions for a random walk in a critical one-dimensional random environment

Russian Mathematical Surveys ◽

10.1070/rm1986v041n02abeh003271 ◽

1986 ◽

Vol 41 (2) ◽

pp. 199-200 ◽

Cited By ~ 9

Author(s):

A O Golosov

Keyword(s):

Random Walk ◽

Random Environment ◽

Limiting Distributions ◽

One Dimensional

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Tail estimates for one-dimensional random walk in random environment

Communications in Mathematical Physics ◽

10.1007/bf02101292 ◽

1996 ◽

Vol 181 (3) ◽

pp. 667-683 ◽

Cited By ~ 20

Author(s):

Amir Dembo ◽

Yuval Peres ◽

Ofer Zeitouni

Keyword(s):

Random Walk ◽

Random Environment ◽

One Dimensional

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Oscillations of quenched slowdown asymptotics for ballistic one-dimensional random walk in a random environment

Electronic Journal of Probability ◽

10.1214/16-ejp4529 ◽

2016 ◽

Vol 21 (0) ◽

Cited By ~ 1

Author(s):

Sung Won Ahn ◽

Jonathon Peterson

Keyword(s):

Random Walk ◽

Random Environment ◽

One Dimensional

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Quenched Sub-Exponential Tail Estimates for One-Dimensional Random Walk in Random Environment

Communications in Mathematical Physics ◽

10.1007/s002200050354 ◽

1998 ◽

Vol 194 (1) ◽

pp. 177-190 ◽

Cited By ~ 12

Author(s):

Nina Gantert ◽

Ofer Zeitouni

Keyword(s):

Random Walk ◽

Random Environment ◽

Exponential Tail ◽

One Dimensional

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Quenched limits for transient, zero speed one-dimensional random walk in random environment

The Annals of Probability ◽

10.1214/08-aop399 ◽

2009 ◽

Vol 37 (1) ◽

pp. 143-188 ◽

Cited By ~ 2

Author(s):

Jonathon Peterson ◽

Ofer Zeitouni

Keyword(s):

Random Walk ◽

Random Environment ◽

One Dimensional

Download Full-text