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

• Published in: Український математичний журнал
• Date: 2013
• Main Authors: Блекмор, Д., Голеня, Й., Прикарпатський, А.К., Прикарпатський, Я.А.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164744
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations / Д. Блекмор, Й. Голеня, А.К. Прикарпатський, Я.А. Прикарпатський // Український математичний журнал. — 2013. — Т. 65, № 1. — С. 44-57 — Бібліогр.: 26 назв. — англ.

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...