Temat: ergodic measures - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On uniqueness of G-measures and g-measures
Autorzy:: Hua Fan, Ai
Powiązania:: https://bibliotekanauki.pl/articles/1287544.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: G-measures
g-measures
ergodic measures
Riesz products
quasi-invariance
dimension of measures
Opis:: We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension of Riesz products is calculated.
Źródło:: Studia Mathematica; 1996, 119, 3; 255-269
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Ergodic decomposition of quasi-invariant probability measures
Autorzy:: Greschonig, Gernot
Schmidt, Klaus
Powiązania:: https://bibliotekanauki.pl/articles/965652.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: ergodic decomposition
nonsingular group actions
nonsingular equivalence relations
quasi-invariant measures
Opis:: The purpose of this note is to prove various versions of the ergodic decomposition theorem for probability measures on standard Borel spaces which are quasi-invariant under a Borel action of a locally compact second countable group or a discrete nonsingular equivalence relation. In the process we obtain a simultaneous ergodic decomposition of all quasi-invariant probability measures with a prescribed Radon-Nikodym derivative, analogous to classical results about decomposition of invariant probability measures.
Źródło:: Colloquium Mathematicum; 2000, 84/85, 2; 495-514
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Ergodic theory approach to chaos: remarks and computational aspects
Autorzy:: Mitkowski, P. J.
Mitkowski, W.
Powiązania:: https://bibliotekanauki.pl/articles/331446.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: twierdzenie ergodyczne
chaos
miara niezmiennicza
ergodic theory
invariant measures
attractors
delay differential equations
Opis:: We discuss basic notions of the ergodic theory approach to chaos. Based on simple examples we show some characteristic features of ergodic and mixing behaviour. Then we investigate an infinite dimensional model (delay differential equation) of erythropoiesis (red blood cell production process) formulated by Lasota. We show its computational analysis on the previously presented theory and examples. Our calculations suggest that the infinite dimensional model considered possesses an attractor of a nonsimple structure, supporting an invariant mixing measure. This observation verifies Lasota's conjecture concerning nontrivial ergodic properties of the model.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 259-267
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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