Z. Kabluchko

Absorption Probabilities for Random Convex Hulls: Distribution-Freeness via the Wall-Crossing Method

We consider the probability that the convex hull of the first $n$ partial sums of a $d$-dimensional random walk contains the origin. Under symmetric exchangeability of the increments and a general-position assumption, this absorption probability is distribution-free and admits an explicit formula, previously obtained b...