V. Baladi, H.H. Rugh
Floquet spectrum of weakly coupled map lattices
(358K, Postscript)

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.