Statistical properties of coupled expanding maps on a lattice with general infinite range couplings and Hölder densities

Details Statistical properties of coupled expanding maps on a lattice with general infinite range couplings and Hölder densities Statistical properties of coupled expanding maps on a lattice with general infinite range couplings and Hölder densities

2012-03-18

arxiv.org/abs/1203.3992v1

Mathematics

Dynamical Systems

Scientific paper

We continue the development of transfer operator techniques for expanding maps on a lattice coupled by general interaction functions. We obtain a spectral gap for an appropriately defined transfer operator, and, as corollaries, the existence of an invariant conformal probability measure for the system, exponential decay of correlations, the central limit theorem and the almost sure invariance principle.

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