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Moderate deviations for a Curie–Weiss model with dynamical external field

Anselm Reichenbachs — 2013

ESAIM: Probability and Statistics

In the present paper we prove moderate deviations for a Curie–Weiss model with external magnetic field generated by a dynamical system, as introduced by Dombry and Guillotin-Plantard in [C. Dombry and N. Guillotin-Plantard, 15 (2009) 1–30]. The results extend those already obtained for the Curie–Weiss model without external field by Eichelsbacher and Löwe in [P. Eichelsbacher and M. Löwe, 10 (2004) 345–366]. The Curie–Weiss model with dynamical external field is related to the so called dynamic...

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