The spectrum of weakly coupled map lattices
نویسندگان
چکیده
منابع مشابه
Institute for Mathematical Physics the Spectrum of Weakly Coupled Map Lattices the Spectrum of Weakly Coupled Map Lattices
We consider weakly coupled analytic expanding circle maps on the lattice Z d (for d 1), with small coupling strength and coupling between two sites decaying exponentially with the distance. We study the spectrum of the associated (Perron-Frobenius) transfer operators. We give a Fr echet space on which the operator associated to the full system has a simple eigenvalue at 1 (corresponding to the ...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 1998
ISSN: 0021-7824
DOI: 10.1016/s0021-7824(98)80138-4