Statistical periodicity of deterministic systems

Andrzej Lasota; James A. Yorke

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Displaying similar documents to “Statistical periodicity of deterministic systems”

Asymptotic decomposition of smoothing positive operators

Jozef Komorník (1989)

Acta Universitatis Carolinae. Mathematica et Physica

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Support overlapping $L_{1}$ contractions and exact non-singular transformations

Michael Lin (2000)

Colloquium Mathematicae

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Let T be a positive linear contraction of $L_{1}$ of a σ-finite measure space (X,Σ,μ) which overlaps supports. In general, T need not be completely mixing, but it is in the following cases: (i) T is the Frobenius-Perron operator of a non-singular transformation ϕ (in which case complete mixing is equivalent to exactness of ϕ). (ii) T is a Harris recurrent operator. (iii) T is a convolution operator on a compact group. (iv) T is a convolution operator on a LCA group.

Statistical properties of the Ejgielies model of a cogged bit

Katarzyna Horbacz (1991)

Applicationes Mathematicae

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Weakly mixing but not mixing quasi-Markovian processes

Zbigniew Kowalski (2000)

Studia Mathematica

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Let (f,α) be the process given by an endomorphism f and by a finite partition $α = {A_{i}}_{i = 1}^{s}$ of a Lebesgue space. Let E(f,α) be the class of densities of absolutely continuous invariant measures for skew products with the base (f,α). We say that (f,α) is quasi-Markovian if $E (f, α) \subset g : ⋁_{{B_{i}}_{i = 1}^{s}} s u p p g = ⋃_{i = 1}^{s} A_{i} \times B_{i}$ . We show that there exists a quasi-Markovian process which is weakly mixing but not mixing. As a by-product we deduce that the set of all coboundaries which are measurable with respect to the ’chequer-wise’ partition for σ ×...

Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities

M. F. Barnsley, S. G. Demko, J. H. Elton, J. S. Geronimo (1988)

Annales de l'I.H.P. Probabilités et statistiques

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Monotonic mod one transformations

Franz Hofbauer (1984)

Studia Mathematica

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The asymptotics of the Perron-Frobenius operator of a class of interval maps preserving infinite measures

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.

Displaying similar documents to “Statistical periodicity of deterministic systems”

Asymptotic decomposition of smoothing positive operators

Support overlapping L 1 contractions and exact non-singular transformations

Statistical properties of the Ejgielies model of a cogged bit

Weakly mixing but not mixing quasi-Markovian processes

Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities

Monotonic mod one transformations

The asymptotics of the Perron-Frobenius operator of a class of interval maps preserving infinite measures

Support overlapping $L_{1}$ contractions and exact non-singular transformations