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

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

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 a...

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Bibliographic Details
Main Authors: Блекмор, Д., Голеня, Й., Прикарпатський, А.К., Прикарпатський, Я.А.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/164744
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Summary: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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