- 94-365 Jiang M.
- Equilibrium States for Lattice Models of Hyperbolic Type
(83K, Plain TeX)
Nov 25, 94
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Abstract. We study the structural stability of coupled map lattice models of
hyperbolic type under certain metrics. We prove the existence of
equilibrium states for continuous functions on lattice models under the
conditions of weak interaction and translation invariance. We also
study the uniqueness and ergodic properties of these equilibrium
states for H\"older continuous functions.