41 citations · 313 across the 45 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math.PR2010★ 10 cited
Short-range spin glasses and Random Overlap Structures
Louis-Pierre Arguin, Michael Damron
Properties of Random Overlap Structures (ROSt)'s constructed from the Edwards-Anderson (EA) Spin Glass model on with periodic boundary conditions are studied. ROSt's are $\N…
math.PR2010★ 14 cited
Examples of nonpolygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models
Michael Damron, Michael Hochman
We construct an edge-weight distribution for i.i.d. first-passage percolation on whose limit shape is not a polygon and whose extreme points are arbitrarily dense in…
math.PR2010★ 11 cited
Limit theorems for 2D invasion percolation
Michael Damron, Artëm Sapozhnikov
We prove limit theorems and variance estimates for quantities related to ponds and outlets for 2D invasion percolation. We first exhibit several properties of a sequence $({\mathbf…