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

  • D. Blackmore
  • J. Golenia Univ. Sci. and Technology, Krakow, Poland
  • A. K. Prykarpatsky
  • Ya. A. Prykarpatsky

Abstract

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.
Published
25.01.2013
How to Cite
BlackmoreD., GoleniaJ., PrykarpatskyA. K., and PrykarpatskyY. A. “Invariant Measures for Discrete Dynamical Systems and Ergodic Properties of Generalized Boole-Type Transformations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 1, Jan. 2013, pp. 44-57, http://umj.imath.kiev.ua/index.php/umj/article/view/2403.
Section
Research articles