107 citations · 586 across the 55 of their papers we have counts for
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Harnack inequality and one-endedness of UST on reversible random graphs
Nathanaël Berestycki, Diederik van Engelenburg
We prove that for recurrent, reversible graphs, the following conditions are equivalent: (a) existence and uniqueness of the potential kernel, (b) existence and uniqueness of harmo…
Explosive growth for a constrained Hastings-Levitov aggregation model
Nathanaël Berestycki, Vittoria Silvestri
We consider a constrained version of the HL Hastings--Levitov model of aggregation in the complex plane, in which particles can only attach to the part of the cluster that has…
Multiplicative chaos of the Brownian loop soup
Élie Aïdékon, Nathanaël Berestycki, Antoine Jego +1
We construct a measure on the thick points of a Brownian loop soup in a bounded domain D of the plane with given intensity , which is formally obtained by exponentiating the s…
Free boundary dimers: random walk representation and scaling limit
Nathanael Berestycki, Marcin Lis, Wei Qian
We study the dimer model on subgraphs of the square lattice in which vertices on a prescribed part of the boundary (the free boundary) are possibly unmatched. Each such unmatched v…