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math.PR2007
A note on random walks in a hypercube
Stanislav Volkov, Timothy Wong
We study a simple random walk on an n-dimensional hypercube. For any starting position we find the probability of hitting vertex a before hitting vertex b, whenever a and b share t…
math.PR2007
Urn-related random walk with drift
Mikhail Menshikov, Stanislav Volkov
We study a one-dimensional random walk whose expected drift depends both on time and the position of a particle. We establish a non-trivial phase transition for the recurrence vs.…