On the Pointwise Ergodic Theorem in
F. Martín-Reyes, A. de la Torre (1994)
Studia Mathematica
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F. Martín-Reyes, A. de la Torre (1994)
Studia Mathematica
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F. Schweiger (1989)
Banach Center Publications
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Antoni Leon Dawidowicz (1989)
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Jon Aaronson, Tom Meyerovitch (2008)
Colloquium Mathematicae
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We show that a dissipative, ergodic measure preserving transformation of a σ-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.
R. Sato (1990)
Colloquium Mathematicae
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Rao, M.B. (1978)
Portugaliae mathematica
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Ryotaro Sato (1994)
Publicacions Matemàtiques
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Let Ti (i = 1, 2, ..., d) be commuting null preserving transformations on a finite measure space (X, F, μ) and let 1 ≤ p < ∞. In this paper we prove that for every f ∈ Lp(μ) the averages Anf(x) = (n + 1)-d Σ0≤ni≤n f(T1 n1 T2 n2...
Antoni Leon Dawidowicz (1992)
Annales Polonici Mathematici
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A method of construction of an invariant measure on a function space is presented.
Thomas Bogenschütz, Zbigniew Kowalski (1996)
Studia Mathematica
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We give an elementary proof for the uniqueness of absolutely continuous invariant measures for expanding random dynamical systems and study their mixing properties.
Paweł J. Mitkowski, Wojciech Mitkowski (2012)
International Journal of Applied Mathematics and Computer Science
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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...
Dang-Ngoc-Nghiem (1973)
Annales de l'I.H.P. Probabilités et statistiques
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C. Ryll-Nardzewski (1951)
Studia Mathematica
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Das, G., Patel, B.K. (1989)
International Journal of Mathematics and Mathematical Sciences
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