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Journal of Statistical Physics

, Volume 82, Issue 3–4, pp 797–821 | Cite as

Uniqueness and exponential decay of correlations for some two-dimensional spin lattice systems

  • Miaohua Jiang
  • Alexander E. Mazel
Articles

Abstract

We consider a two-dimensional lattice spin system which naturally arises in dynamical systems called coupled map lattice. The configuration space of the spin system is a direct product of mixing subshifts of finite type. The potential is defined on the set of all squares in Z2 and decays exponentially with the linear size of the square. Via the polymer expansion technique we prove that for sufficiently high temperatures the limit Gibbs distribution is unique and has an exponential decay of correlations.

Key Words

Lattice spin system shift of finite type uniqueness of Gibbs state polymer expansion 

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Miaohua Jiang
    • 1
  • Alexander E. Mazel
    • 2
    • 3
  1. 1.Department of MathematicsPennsylvania State UniversityUniversity Park
  2. 2.International Institute for Eearthquake Prediction Theory and Mathematical GeophysicsMoscowRussia
  3. 3.Center for Mathematical Sciences Research, Department of MathematicsRutgers UniversityNew Brunswick

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