Maximilian Thaler (2000)
Studia Mathematica
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We determine the asymptotic behaviour of the iterates of the Perron-Frobenius operator for specific interval maps with an indifferent fixed point which gives rise to an infinite invariant measure.
Jolanta Socała (1988)
Annales Polonici Mathematici
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Henk Bruin, Stefano Luzzatto, Sebastian Van Strien (2003)
Annales scientifiques de l'École Normale Supérieure
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Adl-Zarabi, Kourosh, Proppe, Harald (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Zbigniew Kowalski (1993)
Studia Mathematica
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We consider skew products preserving a measure which is absolutely continuous with respect to the product measure. Here f is a 1-sided Markov shift with a finite set of states or a Lasota-Yorke type transformation and , i = 1,..., max e, are nonsingular transformations of some probability space. We obtain the description of the set of eigenfunctions of the Frobenius-Perron operator for T and consequently we get the conditions ensuring the ergodicity, weak mixing and exactness of T....
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.
Jaroslav Mohapl (1993)
Mathematica Slovaca
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Roger J. Metzger (2000)
Annales de l'I.H.P. Analyse non linéaire
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