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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 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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Інститут математики НАН України
2013
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| Series: | Український математичний журнал |
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164744 |
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irk-123456789-1647442020-02-11T01:27:16Z Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations Блекмор, Д. Голеня, Й. Прикарпатський, А.К. Прикарпатський, Я.А. Статті 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. Вивчаються ергодичнi мiри для узагальнених перетворень булевoго типу iз використанням пiдходу твiрних функцiй iнварiантних квазiмiр, що базується на спецiальних розв’язках для оператора Фробенiуса – Перрона. Запропоновано новi двовимiрнi перетворення булевoго типу та дослiджено їхнi iнварiантнi мiри та ергодичнi властивостi. 2013 Article 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. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/164744 517.9 en Український математичний журнал Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
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Статті Статті |
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Статті Статті Блекмор, Д. Голеня, Й. Прикарпатський, А.К. Прикарпатський, Я.А. Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations Український математичний журнал |
| 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. |
| format |
Article |
| author |
Блекмор, Д. Голеня, Й. Прикарпатський, А.К. Прикарпатський, Я.А. |
| author_facet |
Блекмор, Д. Голеня, Й. Прикарпатський, А.К. Прикарпатський, Я.А. |
| author_sort |
Блекмор, Д. |
| title |
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations |
| title_short |
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations |
| title_full |
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations |
| title_fullStr |
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations |
| title_full_unstemmed |
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations |
| title_sort |
invariant measures for discrete dynamical systems and ergodic properties of generalized boole-type transformations |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/164744 |
| citation_txt |
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. |
| series |
Український математичний журнал |
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2023-10-18T22:14:32Z |
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2023-10-18T22:14:32Z |
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