Allan Sly

activity

20242026

collaborators

4 papers

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 ErdÃ¶s-RÃ©nyi graphs $G (n, d / n)$ (with $d > 1$ ) at the critical temperature. We prove that t…

math.PR2025

Polynomial mixing of the critical Ising model on sparse Erdos-Renyi graphs

Kyprianos-Iason Prodromidis, Allan Sly

We consider the stochastic Ising model on sparse Erdos-Renyi graphs $G (n, d / n)$ with $d > 1$ at the critical temperature $I^_{c}^{2} = tanh^{- 1} (d^{- 1})$ and prove that with high probability…

math.PR2024

Polynomial Mixing of the critical Glauber Dynamics for the Ising Model

Kyprianos-Iason Prodromidis, Allan Sly

In this note, we prove that on any graph of maximal degree $d$ the mixing time of the Glauber Dynamics for the Ising Model at $I^_{c}^{2} = tanh^{- 1} (\frac{1}{d - 1})$ , the uniqueness thresho…

Rapid phase ordering of Ising dynamics on Z2

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

Polynomial mixing of the critical Ising model on sparse Erdos-Renyi graphs

Polynomial Mixing of the critical Glauber Dynamics for the Ising Model

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