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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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 1, pp. 44–57, January, 2013.
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Blackmore, D., Golenia, J., Prykarpatsky, A.K. et al. Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations. Ukr Math J 65, 47–63 (2013). https://doi.org/10.1007/s11253-013-0764-z
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DOI: https://doi.org/10.1007/s11253-013-0764-z