69 citations · 290 across the 19 of their papers we have counts for
20 papers
On the range of a two-dimensional conditioned simple random walk
Nina Gantert, Serguei Popov, Marina Vachkovskaia
We consider the two-dimensional simple random walk conditioned on never hitting the origin. This process is a Markov chain, namely it is the Doob -transform of the simple random…
Two-dimensional random interlacements and late points for random walks
Francis Comets, Serguei Popov, Marina Vachkovskaia
We define the model of two-dimensional random interlacements using simple random walk trajectories conditioned on never hitting the origin, and then obtain some properties of this…
Dynamical systems with heavy-tailed random parameters
Vladimir Belitsky, Mikhail Menshikov, Dimitri Petritis +1
Motivated by the study of the time evolution of random dynamical systems arising in a vast variety of domains --- ranging from physics to ecology ---, we establish conditions for t…
Constrained information transmission on Erdös-Rényi graphs
Francis Comets, Christophe Gallesco, Serguei Popov +1
We model the transmission of information of a message on the Erdös-Rény random graph with parameters and limited resources. The vertices of the graph represent servers that…
On large deviations for the cover time of two-dimensional torus
Francis Comets, Christophe Gallesco, Serguei Popov +1
Let be the cover time of two-dimensional discrete torus . We prove that $\mathbb{P}[\mathcal{T}_n\leq \frac{4}πγn^2\ln^2…
A conditional quenched CLT for random walks among random conductances on
Christophe Gallesco, Nina Gantert, Serguei Popov +1
Consider a random walk among random conductances on with . We study the quenched limit law under the usual diffusive scaling of the random walk conditioned…