49 citations · 128 across the 39 of their papers we have counts for
45 papers
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…
Internal Diffusion Limited Aggregation with Critical Branching Random Walks
Amine Asselah, Vittoria Silvestri, Lorenzo Taggi
Internal Diffusion Limited Aggregation is an interacting particle system that describes the growth of a random cluster governed by the boundary harmonic measure seen from an intern…
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…
On the intersection of critical percolation clusters and other tree-like random graphs
Amine Asselah, Bruno Schapira
We study intersection properties of two or more independent tree-like random graphs. Our setting encompasses critical, possibly long range, Bernoulli percolation clusters, incipien…
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…
Local times and capacity for transient branching random walks
Amine Asselah, Bruno Schapira, Perla Sousi
We consider branching random walks on the Euclidean lattice in dimensions five and higher. In this non-Markovian setting, we first obtain a relationship between the equilibrium mea…