Path-space moderate deviation principles for the random field curie-weiss model

Collet, F.; Kraaij, R.C.

doi:10.1214/17-EJP117

Path-space moderate deviation principles for the random field curie-weiss model

Title

Path-space moderate deviation principles for the random field curie-weiss model

Author

Collet, F. (TU Delft Applied Probability)
Kraaij, R.C. (Ruhr-Universität Bochum)

Date

2018

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 moderate deviation principles via a general analytic approach based on convergence of nonlinear 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.

Subject

Hamilton-jacobi equation
Interacting particle systems
Mean-field interaction
Moderate deviations
Perturbation theory for Markov processes
Quenched random environment

To reference this document use:

http://resolver.tudelft.nl/uuid:26bb1d3a-9992-4fb8-9bc0-1d3fd5c79c4b

DOI

https://doi.org/10.1214/17-EJP117

ISSN

1083-6489

Source

Electronic Journal of Probability, 23, 1-45

Part of collection

Institutional Repository