12 citations · 16 across the 4 of their papers we have counts for
5 papers · 1 filter
On the number and size of holes in the growing ball of first-passage percolation
Michael Damron, Julian Gold, Wai-Kit Lam +1
First-passage percolation is a random growth model defined on using i.i.d. nonnegative weights on the edges. Letting be the distance between vertice…
The number of saddles of the spherical -spin model
Antonio Auffinger, Julian Gold
We show that the quenched complexity of saddles of the spherical pure -spin model agrees with the annealed complexity when both are positive. Precisely, we show that the second…
Dynamical Freezing in a Spin Glass System with Logarithmic Correlations
Aser Cortines, Julian Gold, Oren Louidor
We consider a continuous time random walk on the two-dimensional discrete torus, whose motion is governed by the discrete Gaussian free field on the corresponding box acting as a p…
Intrinsic isoperimetry of the giant component of supercritical bond percolation in dimension two
Julian Gold
We study the isoperimetric subgraphs of the giant component of supercritical bond percolation on the square lattice. These are subgraphs of having min…
Isoperimetry in supercritical bond percolation in dimensions three and higher
Julian Gold
We study the isoperimetric subgraphs of the infinite cluster for supercritical bond percolation on with . Specifically, we consider the…