51 citations · 243 across the 25 of their papers we have counts for
12 papers · 1 filter
Random field induced order in two dimensions
Nicolas Crawford, Wioletta M. Ruszel
In this article we prove that a classical model subjected to weak i.i.d. random field pointing in a fixed direction exhibits residual magnetic order in and alig…
Percolation transition for random forests in
Roland Bauerschmidt, Nicholas Crawford, Tyler Helmuth
The arboreal gas is the probability measure on (unrooted spanning) forests of a graph in which each forest is weighted by a factor per edge. It arises as the limit o…
Macroscopic loops in the loop O(n) model via the XOR trick
Nicholas Crawford, Alexander Glazman, Matan Harel +1
The loop model is a family of probability measures on collections of non-intersecting loops on the hexagonal lattice, parameterized by a loop-weight and an edge-weight $…
Random spanning forests and hyperbolic symmetry
Roland Bauerschmidt, Nicholas Crawford, Tyler Helmuth +1
We study (unrooted) random forests on a graph where the probability of a forest is multiplicatively weighted by a parameter per edge. This is called the arboreal gas model, a…
Eigenvector correlations in the complex Ginibre ensemble
Nicholas Crawford, Ron Rosenthal
The complex Ginibre ensemble is an non-Hermitian random matrix over with i.i.d. complex Gaussian entries normalized to have mean zero and variance . U…
Invariance principle for `push' tagged particles for a Toom Interface
Nick Crawford, Wojciech De Roeck
In many interacting particle systems, tagged particles move diffusively upon subtracting a drift. General techniques to prove such `invariance principles' are available for reversi…