Dynamical moderate deviations for the Curie-Weiss model
arXiv:1607.05182 · doi:10.1016/j.spa.2017.01.002
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.
References in corpus (1)
Cited by in corpus (10)
- Classical large deviations theorems on complete Riemannian manifolds
- Large-deviation principles of switching Markov processes via Hamilton-Jacobi equations
- Path-space moderate deviation principles for the random field Curie-Weiss model
- Well-posedness of Hamilton-Jacobi equations in population dynamics and applications to large deviations
- Comparison Principle for Hamilton-Jacobi-Bellman Equations via a Bootstrapping Procedure
- A large deviation perspective on exponential decay of entropy and lower bounds on the Ricci-curvature
- Large Deviations of Irreversible Processes
- Path-space moderate deviations for a Curie-Weiss model of self-organized criticality
- Some remarks on the effect of the Random Batch Method on phase transition
- Large deviations for Brownian motion in evolving Riemannian manifolds