Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations

• Date: 2013
• Main Authors: Blackmore, D., Golenia, J., Prykarpatsky, A. K., Prykarpatsky, Ya. A., Блекмор, Д., Голеня, Й., Прикарпатський, А. К., Прикарпатський, Я. А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2403
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...