Statistical properties of coupled expanding maps on a lattice with   general infinite range couplings and H\"older densities
  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. 
Chinmaya Gupta and Nicolai Haydn
math.DS math.PR