2 papers
math.PR2026
On large deviations for the range of a two-dimensional random walk
Serguei Popov, Quirin Vogel
In this note, we compute the probability that a two-dimensional symmetric random walk visits more vertices than expected, for deviations on scales between the mean behavior and lin…
math.PR2025
On extinction and survival of the Bak-Sneppen model on arbitrary graphs
Serguei Popov, Stanislav Volkov
We study the discrete Bak-Sneppen model introduced by Barbay and Kenyon (2001) "On the discrete Bak-Sneppen model of self-organized criticality". We extend their results as well as…