11 citations · 58 across the 27 of their papers we have counts for
40 papers
Random walk on the small-world network model in 3 or more dimensions
Zsuzsanna Baran, Jonathan Hermon, Anđela Šarković +2
We study the mixing time of a simple random walk on the small-world network defined by adding edges to as follows: for each pair we add an edge with prob…
Derivative formula for capacities
Amine Asselah, Bruno Schapira, Perla Sousi
We obtain a derivative formula for various notions of capacity. Namely we identify the second order term in the asymptotic expansion of the capacity of a union of two sets, as thei…
Capacity in high dimensional percolation
Amine Asselah, Bruno Schapira, Perla Sousi
We introduce a notion of capacity for high dimensional critical percolation by showing that for any finite set , the suitably rescaled probability that the cluster of inters…
Phase transition for the late points of random walk
Alexis Prévost, Pierre-François Rodriguez, Perla Sousi
Let be a random walk on the torus of side length in dimension with uniform starting point, and be the expected value of its cover time, which is…
Branching random walks and Minkowski sum of random walks
Amine Asselah, Izumi Okada, Bruno Schapira +1
We show that the range of a critical branching random walk conditioned to survive forever and the Minkowski sum of two independent simple random walk ranges are intersection-equiva…
Phase transition for random walks on graphs with added weighted random matching
Zsuzsanna Baran, Jonathan Hermon, Anđela Šarković +1
For a finite graph let be obtained by considering a random perfect matching of and adding the corresponding edges to with weight , while assign…