Invariant measures for discrete dynamical systems and ergodic properties   of generalized Boole type transformations
  Invariant ergodic measures for generalized Boole type transformations are studied using an invariant quasi-measure generating function approach based on special solutions to the Frobenius--Perron operator. New two-dimensional Boole type transformations are introduced, and their invariant measures and ergodicity properties are analyzed. 
Denis Blackmore, Jolanta Golenia, Yarema A. Prykarpatsky, and Anatoliy   K. Prykarpatsky
math.DS math.FA