41 citations · 313 across the 45 of their papers we have counts for
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math.PR2011
On the number of ground states of the Edwards-Anderson spin glass model
Louis-Pierre Arguin, Michael Damron
Ground states of the Edwards-Anderson (EA) spin glass model are studied on infinite graphs with finite degree. Ground states are spin configurations that locally minimize the EA Ha…
math.PR2011★ 15 cited
A simplified proof of the relation between scaling exponents in first-passage percolation
Antonio Auffinger, Michael Damron
In a recent breakthrough work, Chatterjee [Ann. of Math. (2) 177 (2013) 663-697] proved a long standing conjecture that relates the transversal exponent and the fluctuation exp…
math.PR2011★ 1 cited
Differentiability at the edge of the percolation cone and related results in first-passage percolation
Antonio Auffinger, Michael Damron
We study first-passage percolation in two dimensions, using measures mu on passage times with b:=inf supp(mu) >0 and mu({b})=p \geq p_c, the threshold for oriented percolation. We…