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We prove a local limit theorem for Lipschitz continuous observables on a weakly coupled lattice of piecewise expanding interval maps. The core of the paper is a proof that the spectral radii of the Fourier-transfer operators for such a system are strictly less than 1. This extends the approach of [KL06] where the ordinary transfer operator was studied. 1. Results This paper deals with the issue...
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ژورنال
عنوان ژورنال: Stochastics and Dynamics
سال: 2007
ISSN: 0219-4937,1793-6799
DOI: 10.1142/s0219493707001913