Correlated hopping in infinite dimensions: Rigorous local approach
  The general approach for the description of correlated hopping in the Dynamical Mean-Field Theory which is based on the expansion over electron hopping around the atomic limit is developed. It is formulated in terms of the local irreducible parts (cumulants) of Green's functions and allowed to calculate thermodynamical functions. As a limit case the Falicov-Kimball model with correlated hopping is considered. 
A.M. Shvaika