56 citations · 180 across the 28 of their papers we have counts for
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3 papers · 1 filter
math.PR2013★ 1 cited
Extinction window of mean field branching annihilating random walk
Idan Perl, Arnab Sen, Ariel Yadin
We study a model of growing population that competes for resources. At each time step, all existing particles reproduce and the offspring randomly move to neighboring sites. Then a…
math.PR2013
Tricolor percolation and random paths in 3D
Scott Sheffield, Ariel Yadin
We study "tricolor percolation" on the regular tessellation of R^3 by truncated octahedra, which is the three-dimensional analog of the hexagonal tiling of the plane. We independen…
math.PR2013★ 4 cited
Condensation of random walks and the Wulff crystal
Nathanael Berestycki, Ariel Yadin
We introduce a Gibbs measure on nearest-neighbour paths of length in the Euclidean -dimensional lattice, where each path is penalised by a factor proportional to the size of…