- 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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97-259.tex