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2018 Path-space moderate deviation principles for the random field Curie-Weiss model
Francesca Collet, Richard C. Kraaij
Electron. J. Probab. 23: 1-45 (2018). DOI: 10.1214/17-EJP117

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 non-linear 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.

Citation

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Francesca Collet. Richard C. Kraaij. "Path-space moderate deviation principles for the random field Curie-Weiss model." Electron. J. Probab. 23 1 - 45, 2018. https://doi.org/10.1214/17-EJP117

Information

Received: 14 July 2017; Accepted: 16 October 2017; Published: 2018
First available in Project Euclid: 27 February 2018

zbMATH: 1390.60102
MathSciNet: MR3771758
Digital Object Identifier: 10.1214/17-EJP117

Subjects:
Primary: 60F10, 60J27, 60K35, 82C44

JOURNAL ARTICLE
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Vol.23 • 2018
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