123 citations · 404 across the 40 of their papers we have counts for
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math.PR2016★ 1 cited
Slightly subcritical hypercube percolation
Tim Hulshof, Asaf Nachmias
We study bond percolation on the hypercube in the slightly subcritical regime where and but $\varepsilon_m \gg 2^{-m/…
math.PR2016
Hyperbolic and Parabolic Unimodular Random Maps
Omer Angel, Tom Hutchcroft, Asaf Nachmias +1
We show that for infinite planar unimodular random rooted maps, many global geometric and probabilistic properties are equivalent, and are determined by a natural, local notion of…
math.PR2016
Uniform Spanning Forests of Planar Graphs
Tom Hutchcroft, Asaf Nachmias
We prove that the free uniform spanning forest of any bounded degree proper plane graph is connected almost surely, answering a question of Benjamini, Lyons, Peres and Schramm. We…