Ergodic and central limit theorems in statistical mechanics in continuous case
Krystyna Parczyk (1989)
Banach Center Publications
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Displaying similar documents to “Statistical properties of long return times in type I intermittency.”
Ergodic and central limit theorems in statistical mechanics in continuous case
Mixtures of invariant non-ergodic probabilities
Rao, M.B. (1978)
Portugaliae mathematica
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Exactness of skew products with expanding fibre maps
Thomas Bogenschütz, Zbigniew Kowalski (1996)
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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.
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R. Jajte (1968)
Annales Polonici Mathematici
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Ergodic theory approach to chaos: Remarks and computational aspects
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...
An ergodic theorem without invariant measure
R. Sato (1990)
Colloquium Mathematicae
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Absolutely continuous, invariant measures for dissipative, ergodic transformations
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.
On the existence of an invariant measure for the dynamical system generated by partial differential equation
Antoni Leon Dawidowicz (1983)
Annales Polonici Mathematici
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On the statistical properties of ergodic economic systems.
Huang, Weihong, Day, Richard H. (2001)
Discrete Dynamics in Nature and Society
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Ergodic properties of skew products withfibre maps of Lasota-Yorke type
Zbigniew Kowalski (1994)
Applicationes Mathematicae
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We consider the skew product transformation T(x,y)= (f(x), ) where f is an endomorphism of a Lebesgue space (X,A,p), e : X → S and is a family of Lasota-Yorke type maps of the unit interval into itself. We obtain conditions under which the ergodic properties of f imply the same properties for T. Consequently, we get the asymptotical stability of random perturbations of a single Lasota-Yorke type map. We apply this to some probabilistic model of the motion of cogged bits in the rotary...
On non-ergodic versions of limit theorems
Dalibor Volný (1989)
Aplikace matematiky
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The author investigates non ergodic versions of several well known limit theorems for strictly stationary processes. In some cases, the assumptions which are given with respect to general invariant measure, guarantee the validity of the theorem with respect to ergodic components of the measure. In other cases, the limit theorem can fail for all ergodic components, while for the original invariant measure it holds.