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

Francesca Collet, Richard C. Kraaij

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)
13 Downloads (Pure)

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.

Original languageEnglish
Article number21
Pages (from-to)1-45
Number of pages45
JournalElectronic Journal of Probability
Volume23
DOIs
Publication statusPublished - 2018

Keywords

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

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