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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...

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Datum:2013
Hauptverfasser: Blackmore, D., Golenia, J., Prykarpatsky, A. K., Prykarpatsky, Ya. A., Блекмор, Д., Голеня, Й., Прикарпатський, А. К., Прикарпатський, Я. А.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/2403
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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.

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