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 quasimeasure generating function approach based on special solutions for the Frobenius - Perron operator. New two-dimensional Boole-type transformations are introduced, and their invariant measures and ergodicity properties are analyzed.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 1, pp 47-63.
Citation Example: Blackmore D., Golenia J., Prykarpatsky A. K., Prykarpatsky Ya. A. Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations // Ukr. Mat. Zh. - 2013. - 65, № 1. - pp. 44-57.