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High temperature expansions and dynamical systems

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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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Authors and Affiliations

  1. Physique Théorique, UCL, B-1348, Louvain-la-Neuve, Belgium

    J. Bricmont

  2. Department of Mathematics, Helsinki University, 00014, Helsinki, Finland

    A. Kupiainen

Authors
  1. J. Bricmont
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  2. A. Kupiainen
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Additional information

Communicated by A. Jaffe

Supported by EC grants SC1-CT91-0695 and CHRX-CT93-0411.

Supported by NSF grant DMS-9205296 and EC grant CHRX-CT93-0411.

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Bricmont, J., Kupiainen, A. High temperature expansions and dynamical systems. Commun.Math. Phys. 178, 703–732 (1996). https://doi.org/10.1007/BF02108821

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