Published January 1, 2013 | Version v1
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Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations

  • 1. New Jersey Inst Technol, Newark, NJ 07102 USA
  • 2. Univ Sci & Technol, Krakow, Poland

Description

Invariant ergodic measures for generalized Boole-type transformations are studied by 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.

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