High temperature expansions and dynamical systems

Bricmont, Jean;Kupiainen, Antti
(1996) Communications in Mathematical Physics — Vol. 178, n° 3, p. 703-732 (1996)

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Authors
  • Bricmont, JeanUCLouvain
    Author
  • Kupiainen, AnttiUCLouvain
    Author
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.
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Bricmont, J., & Kupiainen, A. (1996). High temperature expansions and dynamical systems. Communications in Mathematical Physics, 178(3), 703-732. https://doi.org/10.1007/BF02108821 (Original work published 1996)