Path-space moderate deviation principles for the random field Curie-Weiss model
Probability
2018-03-13 v2
Abstract
We analyze the dynamics of moderate fluctuations for macroscopic observables of the random field Curie Weiss model (i.e., standard Curie-Weiss model embedded in a site dependent, i.i.d. random environment). We obtain path space large deviation principles via a general analytic approach based on convergence of non-linear generators and uniqueness of viscosity solutions for associated Hamilton Jacobi equations. The moderate asymptotics depend crucially on the phase we consider and moreover, the space-time scale range for which fluctuations can be proven is restricted by the addition of the disorder.
Cite
@article{arxiv.1705.00988,
title = {Path-space moderate deviation principles for the random field Curie-Weiss model},
author = {Francesca Collet and Richard C. Kraaij},
journal= {arXiv preprint arXiv:1705.00988},
year = {2018}
}