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arXiv · 1607.05182

Dynamical moderate deviations for the Curie-Weiss model

Francesca Collet·Richard Kraaij
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Abstract

We derive moderate deviation principles for the trajectory of the empirical magnetization of the standard Curie-Weiss model via a general analytic approach based on convergence of generators and uniqueness of viscosity solutions for associated Hamilton-Jacobi equations. The moderate asymptotics depend crucially on the phase under consideration.

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Francesca Collet, Richard Kraaij. 2016-07-18. Dynamical moderate deviations for the Curie-Weiss model. https://doi.org/10.1016/j.spa.2017.01.002

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