A note on a mean ergodic theorem
A. Al-Hussaini (1974)
Annales Polonici Mathematici
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A. Al-Hussaini (1974)
Annales Polonici Mathematici
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Štefan Šujan (1982)
Kybernetika
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Štefan Šujan (1981)
Kybernetika
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Donald S. Ornstein (1975)
Publications mathématiques et informatique de Rennes
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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...
Nishishiraho, Toshihiko (1998)
Journal of Convex Analysis
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Karel Winkelbauer (1971)
Kybernetika
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Roland Zweimüller (2004)
Colloquium Mathematicae
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We present a very quick and easy proof of the classical Stepanov-Hopf ratio ergodic theorem, deriving it from Birkhoff's ergodic theorem by a simple inducing argument.