97-259 Miaohua Jiang, Yakov B. Pesin
Equilibrium Measures for Coupled Map Lattices: Existence, Uniqueness and Finite-Dimensional Approximations (115K, TeX) May 5, 97
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Abstract. We extend thermodynamic formalism to coupled map lattices of hyperbolic type and prove existence, uniqueness, and mixing properties of equilibrium measures for a class of H\"older continuous potential functions. We also describe finite-dimensional approximations of equilibrium measures. We apply our results to establish existence and uniqueness of SRB-type measures.

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