24 citations · 48 across the 17 of their papers we have counts for
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math.PR2015
Convex hulls of random walks, hyperplane arrangements, and Weyl chambers
Zakhar Kabluchko, Vladislav Vysotsky, Dmitry Zaporozhets
We give an explicit formula for the probability that the convex hull of an -step random walk in does not contain the origin, under the assumption that the distribution of…
math.PR2015★ 1 cited
On the weak limit law of the maximal uniform k-spacing
Aleksandar Mijatović, Vladislav Vysotsky
This paper gives a simple proof of a limit theorem for the lenght of the largest interval straddling a fixed number of i.i.d. points uniformly disributed on a unit interval. The ke…
math.PR2015
Convex hulls of multidimensional random walks
Vladislav Vysotsky, Dmitry Zaporozhets
Let be a random walk in such that its distribution of increments does not assign mass to hyperplanes. We study the probability that the convex hull $conv (S_1, \l…