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QUENCHED LIMIT THEOREMS FOR NEAREST NEIGHBOUR RANDOM WALKS IN 1D RANDOM ENVIRONMENT
NEIGHBOUR RANDOM WALKS IMIT THEOREMS
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2015/9/29
It is well known that random walks in one dimensional random environment can exhibit subdiffusive behavior due
to presence of traps. In this paper we show that the passage times
of diffe...
Branching diffusions in random environment
Branching process random environment diffusion approximation Laplace transform survival probability backbone construction
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2011/9/6
Abstract: We consider the diffusion approximation of branching processes in random environment (BPREs). This diffusion approximation is similar to and mathematically more tractable than BPREs. We obta...
Annealed and quenched fluctuations for ballistic random walks in random environment on Z
Random walk in random environment stable laws
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2011/1/19
We consider transient random walks in random environment on Z in the positive speed
(ballistic) and critical zero speed regimes. A classical result of Kesten, Kozlov and Spitzer proves that the hitti...
Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards
cosine law stochastic billiard Knudsen random wal random medium random walk in random environment unbounded
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2010/11/26
We consider a random walk in a stationary ergodic environment
in Z, with unbounded jumps. In addition to uniform ellipticity and a bound on the tails of the possible jumps, we assume a condition of s...