High Temperature Expansions and Dynamical Systems
chao-dyn
2009-10-28 v1 混沌动力学
摘要
We develop a resummed high-temperature expansion for lattice spin systems with long range interactions, in models where the free energy is not, in general, analytic. We establish uniqueness of the Gibbs state and exponential decay of the correlation functions. Then, we apply this expansion to the Perron-Frobenius operator of weakly coupled map lattices.
关键词
引用
@article{arxiv.chao-dyn/9504015,
title = {High Temperature Expansions and Dynamical Systems},
author = {J. Bricmont and A. Kupiainen},
journal= {arXiv preprint arXiv:chao-dyn/9504015},
year = {2009}
}
备注
33 pages, Latex; [email protected]; [email protected]