3 citations · 4 across the 2 of their papers we have counts for
3 papers
math.PR2019★ 1 cited
Fluctuations of the overlap at low temperature in the 2-spin spherical SK model
Benjamin Landon, Philippe Sosoe
We describe the fluctuations of the overlap between two replicas in the 2-spin spherical SK model about its limiting value in the low temperature phase. We show that the fluctuatio…
math.PR2017★ 3 cited
Strict inequality for the chemical distance exponent in two-dimensional critical percolation
Michael Damron, Jack Hanson, Philippe Sosoe
We provide the first nontrivial upper bound for the chemical distance exponent in two-dimensional critical percolation. Specifically, we prove that the expected length of the short…
math.PR2015
On the chemical distance in critical percolation
Michael Damron, Jack Hanson, Philippe Sosoe
We consider two-dimensional critical bond percolation. Conditioned on the existence of an open circuit in an annulus, we show that the ratio of the expected size of the shortest op…