49 citations · 128 across the 39 of their papers we have counts for
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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…