A cramér type moderate deviation theorem for the critical curie-weiss model

van Hao Can (1) , Viet-Hung Pham (2)

1 I2M - Institut de Mathématiques de Marseille
2 IMT - Institut de Mathématiques de Toulouse UMR5219

In this paper we study the moderate deviations for the magnetization of critical Curie-Weiss model. Chen, Fang and Shao considered a similar problem for non-critical model by using Stein method. By direct and simple arguments based on Laplace method, we provide an explicit formula of the error and deduce a Cramér-type result.

Mots clés: Moderate deviation; Curie-Weiss model

Domaines: Probabilités [math.PR]; Physique mathématique [math-ph]

van Hao Can, Viet-Hung Pham. A cramér type moderate deviation theorem for the critical curie-weiss model. Electronic Communications in Probability, 2017, 22, paper n° 62. ⟨10.1214/17-ECP96⟩. ⟨hal-01585153v2⟩