23 citations · 88 across the 19 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
math.PR2012★ 1 cited
Crossing speeds of random walks among "sparse" or "spiky" Bernoulli potentials on integers
Elena Kosygina
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. Th…
math.PR2012★ 18 cited
Excited random walks: results, methods, open problems
Elena Kosygina, Martin P. W. Zerner
We consider a class of self-interacting random walks in deterministic or random environments, known as excited random walks or cookie walks, on the d-dimensional integer lattice. T…
math.PR2012
Scaling limits of recurrent excited random walks on integers
Dmitry Dolgopyat, Elena Kosygina
We describe scaling limits of recurrent excited random walks (ERWs) on integers in i.i.d. cookie environments with a bounded number of cookies per site. We allow both positive and…