N. Crawford

activity

20052025

most citedMean-field driven first-order phase transitions in systems with long-range interactions

51 citations · 243 across the 25 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.PR2021★ 1 cited

Random field induced order in two dimensions

Nicolas Crawford, Wioletta M. Ruszel

In this article we prove that a classical $X Y$ model subjected to weak i.i.d. random field pointing in a fixed direction exhibits residual magnetic order in $Z^{2}$ and alig…

math.PR2021★ 2 cited

Percolation transition for random forests in $d \geq 3$

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 $β > 0$ per edge. It arises as the $q \to 0$ limit o…

math.CO2021

3-colorability of graphs with minimum degree at least 6

Nicholas Crawford, Sogol Jahanbekam

Let $G$ be an $n$ -vertex graph and let $L : V (G) \to P ({1, 2, 3})$ be a list assignment over the vertices of $G$ , where each vertex with list of size 3 and of degree at most 5…

Random field induced order in two dimensions

Percolation transition for random forests in d≥3

3-colorability of graphs with minimum degree at least 6

Percolation transition for random forests in $d \geq 3$