Moderate Deviations for a Curie-Weiss model with dynamical external field
Probability
2011-07-05 v1
Abstract
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. The results extend those already obtained in the case of a constant external field by Eichelsbacher and L\"owe. The Curie-Weiss model with dynamic external field is related to the so called dynamic Z-random walks. We also prove a moderate deviation result for the dynamic Z-random walk, completing the list of limit theorems for this object.
Cite
@article{arxiv.1107.0671,
title = {Moderate Deviations for a Curie-Weiss model with dynamical external field},
author = {Anselm Reichenbachs},
journal= {arXiv preprint arXiv:1107.0671},
year = {2011}
}