Equilibrium Measures for Coupled Map Lattices : Existence , Uniqueness and Finite-Dimensional Approximations

@inproceedings{Jiang1997EquilibriumMF,
  title={Equilibrium Measures for Coupled Map Lattices : Existence , Uniqueness and Finite-Dimensional Approximations},
  author={Miaohua Jiang and Yakov Pesin},
  year={1997}
}
We consider coupled map lattices of hyperbolic type, i.e., chains of weakly interacting hyperbolic sets (attractors) over multi-dimensional lattices. We describe the thermodynamic formalism of the underlying spin lattice system and then prove existence, uniqueness, mixing properties, and exponential decay of correlations of equilibrium measures for a class of Hölder continuous potential functions with a sufficiently small Hölder constant. We also study finite-dimensional approximations of… CONTINUE READING
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