01-4 V. Baladi, H.H. Rugh

Floquet spectrum of weakly coupled map lattices (358K, Postscript) Jan 4, 01

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Abstract. We consider weakly coupled analytic expanding circle maps on the lattice Z^D (D >=1) with small coupling strength and summable decay of two-site couplings. The time-transfer operator commutes with the spatial translations, and we provide a description of their nonresonant joint eigenvalues. In particular, we exhibit smooth eigenvalue curves as functions of the crystal momenta.

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