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LIMIT THEOREMS FOR RANDOM WALKS ON A STRIP IN SUBDIFFUSIVE REGIMES
RWRE random walks on a strip quenched random environments
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2015/9/29
We study the asymptotic behaviour of occupation times of a transient random walk in a
quenched random environment on a strip in a sub-diusive regime. The asymptotic behaviour of hitting
times, whic...
GAUSSIAN ESTIMATES FOR MARKOV CHAINS AND RANDOM WALKS ON GROUPS
GROUPS MARKOV CHAINS
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2015/8/26
A Gaussian upper bound for the iterated kernels of Markov chains is obtained under some natural conditions. This result applies in particular to simple random walks on any locally compact unimodular g...
Random Walks and Plane Arrangements in Three Dimensions
Random walks plane dimension
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2015/7/14
Random Walks and Plane Arrangements in Three Dimensions.
Poisson--Dirichlet branching random walks
Poisson--Dirichlet random walks
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2011/1/20
We determine, to within O(1), the expected minimal position at level n in certain branching random walks. The walks under consideration have displacement vector (v1; v2; : : :) where each vj is the su...
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...