High Temperature Expansions and Dynamical Systems

Preprint

25 April 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9504015

Abstract

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.

Keywords

HIGH TEMPERATURE EXPANSION
TEMPERATURE EXPANSIONS
SYSTEMS WE DEVELOP
DYNAMICAL SYSTEMS
RESUMMED HIGH
SPIN SYSTEMS
GIBBS STATE
LATTICES

All Related Versions

Version 1, 1995-04-25, ArXiv
Published version: Communications in Mathematical Physics, 178 (3), 703.

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