English

The Curie-Weiss model with dynamical external field

Probability 2007-05-23 v1

Abstract

We study a Curie-Weiss model with a random external field generated by a dynamical system. Probabilistic limit theorems (weak law of large numbers, central limit theorems) are proven for the corresponding magnetization.

Keywords

Cite

@article{arxiv.math/0610394,
  title  = {The Curie-Weiss model with dynamical external field},
  author = {Clement Dombry and Nadine Guillotin-Plantard},
  journal= {arXiv preprint arXiv:math/0610394},
  year   = {2007}
}