Allan Sly

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20242026

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math.PR2026

Rapid phase ordering of Ising dynamics on $Z^{2}$

Reza Gheissari, Allan Sly

We consider the phase ordering problem for the low-temperature Ising dynamics initialized from a biased and disordered initialization. Work of Fontes, Schonmann, Sidoravicius (2002…

math.PR2026

Distribution of the magnetization of the critical Ising model on sparse random graphs

Kyprianos-Iason Prodromidis, Allan Sly

In this paper, we consider the Ising model on random $d$ -regular graphs (with $d \geq 3$ ) and Erdös-Rényi graphs $G (n, d / n)$ (with $d > 1$ ) at the critical temperature. We prove that the…

Rapid phase ordering of Ising dynamics on Z2

Distribution of the magnetization of the critical Ising model on sparse random graphs

Rapid phase ordering of Ising dynamics on $Z^{2}$