Dynamical moderate deviations for the Curie-Weiss model
Francesca Collet (TU Delft - Applied Probability)
Richard Kraaij (Ruhr-Universität Bochum)
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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.