Approximating the Markov Chain of the Curie-Weiss Model

TL;DR

This paper applies the Stein method to approximate the Markov chain associated with the Curie-Weiss model, providing quantification of known approximations in statistical physics.

Contribution

It introduces a novel application of the Stein method to analyze the Markov chain of the Curie-Weiss model, enhancing understanding of its approximation properties.

Findings

Quantifies approximation accuracy of the Curie-Weiss model

Demonstrates effectiveness of Stein method in this context

Provides new insights into the model's Markov chain behavior

Abstract

In this paper, we quantify some known approximation to the Curie-Weiss model via applying the Stein method to the Markov chain whose stationary distribution coincides with Curie-Weiss model.