1212.4447 (Elena Kosygina et al.)

Crossing speeds of random walks among "sparse" or "spiky" Bernoulli
potentials on integers    [PDF]

Elena Kosygina, Thomas Mountford

We consider a random walk among i.i.d. obstacles on the one dimensional integer lattice under the condition that the walk starts from the origin and reaches a remote location y. The obstacles are represented by a killing potential, which takes value M>0 with probability p and value 0 with probability (1-p), 0View original: http://arxiv.org/abs/1212.4447