48 citations · 213 across the 18 of their papers we have counts for
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math.PR2008★ 5 cited
Large deviations for random walk in a random environment
Atilla Yilmaz
In this work, we study the large deviation properties of random walk in a random environment on with . We start with the quenched case, take the point of vie…
math.PR2008
Averaged large deviations for random walk in a random environment
Atilla Yilmaz
In his 2003 paper, Varadhan proves the averaged large deviation principle for the mean velocity of a particle taking a nearest-neighbor random walk in a uniformly elliptic i.i.d. e…
math.PR2008★ 3 cited
Quenched large deviations for random walk in a random environment
Atilla Yilmaz
We take the point of view of a particle performing random walk with bounded jumps on in a stationary and ergodic random environment. We prove the quenched large devi…