102 citations · 854 across the 53 of their papers we have counts for
55 papers
Rate of escape of the conditioned two-dimensional simple random walk
Orphée Collin, Serguei Popov
We prove sharp asymptotic estimates for the rate of escape of the two-dimensional simple random walk conditioned to avoid a fixed finite set. We derive it from asymptotics availabl…
Two-dimensional random interlacements: 0-1 law and the vacant set at criticality
Orphée Collin, Serguei Popov
We correct and streamline the proof of the fact that, at the critical point , the vacant set of the two-dimensional random interlacements is infinite (Comets, Popov, 2017). Al…
Dynamics of finite inhomogeneous particle systems with exclusion interaction
Vadim Malyshev, Mikhail Menshikov, Serguei Popov +1
We study finite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to…
Linear competition processes and generalized Polya urns with removals
Serguei Popov, Vadim Shcherbakov, Stanislav Volkov
A competition process is a continuous time Markov chain that can be interpreted as a system of interacting birth-and-death processes, the components of which evolve subject to a co…
Transience of conditioned walks on the plane: encounters and speed of escape
Serguei Popov, Leonardo T. Rolla, Daniel Ungaretti
We consider the two-dimensional simple random walk conditioned on never hitting the origin, which is,formally speaking, the Doob's -transform of the simple random walk with resp…
Conditioned two-dimensional simple random walk: Green's function and harmonic measure
Serguei Popov
We study the Doob's -transform of the two-dimensional simple random walk with respect to its potential kernel, which can be thought of as the two-dimensional simple random walk…