A. Pilipenko

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20232026

most citedWalsh's Brownian Motion and Donsker Scaling Limits of Perturbed Random Walks

2 citations · 2 across the 4 of their papers we have counts for

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math.PR2023

On multidimensional locally perturbed standard random walks

Congzao Dong, Alexander Iksanov, Andrey Pilipenko

Let $d$ be a positive integer and $A$ a set in $Z^{d}$ , which contains finitely many points with integer coordinates. We consider $X$ a standard random walk perturbed on the…

math.PR2023★ 2 cited

Walsh's Brownian Motion and Donsker Scaling Limits of Perturbed Random Walks

Ilya Pavlyukevich, Andrey Pilipenko

In this paper we study Markov chains with the state space given by the coordinate axes of $R^{m}$ , $m \geq 2$ , whose step sizes on each positive half-axis are distributed acc…