Kyprianos-Iason Prodromidis

activity

20242026

collaborators

4 papers

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…

math.PR2025

Limit Profile for the high-temperature Curie-Weiss model

Lazaros Karageorgiou, Kyprianos-Iason Prodromidis

In this paper, we consider the Ising model on the complete graph, also known as the Curie-Weiss model, and establish the limit profile of the Glauber dynamics in the high-temperatu…

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 $β_{c} = tanh^{- 1} (d^{- 1})$ 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 $β_{c} = tanh^{- 1} (\frac{1}{d - 1})$ , the uniqueness threshol…