The centralizer of Morse shifts induced by arbitrary blocks
Jan Kwiatkowski, Tadeusz Rojek (1988)
Studia Mathematica
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Displaying similar documents to “A method of solving a cocycle functional equation and applications”
The centralizer of Morse shifts induced by arbitrary blocks
On metric isomorphism of Morse dynamical systems
Tadeusz Rojek (1986)
Studia Mathematica
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On the multiplicity function of ergodic group extensions of rotations
G. Goodson, J. Kwiatkowski, M. Lemańczyk, P. Liardet (1992)
Studia Mathematica
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For an arbitrary set A ⊆ ℕ satisfying 1 ∈ A and lcm(m₁,m₂) ∈ A whenever m₁,m₂ ∈ A, an ergodic abelian group extension of a rotation for which the range of the multiplicity function equals A is constructed.
Isomorphism of regular Morse dynamical systems induced by arbitrary blocks
J. Kwiatkowski (1986)
Studia Mathematica
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Automorphisms with finite exact uniform rank
Mieczysław Mentzen (1991)
Studia Mathematica
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The notion of exact uniform rank, EUR, of an automorphism of a probability Lebesgue space is defined. It is shown that each ergodic automorphism with finite EUR is finite extension of some automorphism with rational discrete spectrum. Moreover, for automorphisms with finite EUR, the upper bounds of EUR of their factors and ergodic iterations are computed.
Weighted weak type inequalities for the ergodic maximal function and the pointwise ergodic theorem
A. de la Torre, F. Martín-Reyes (1987)
Studia Mathematica
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Remarks on the tightness of cocycles
Jon Aaronson, Benjamin Weiss (2000)
Colloquium Mathematicae
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We prove a generalised tightness theorem for cocycles over an ergodic probability preserving transformation with values in Polish topological groups. We also show that subsequence tightness of cocycles over a mixing probability preserving transformation implies tightness. An example shows that this latter result may fail for cocycles over a mildly mixing probability preserving transformation.
On a ratio ergodic theorem
Ryotaro Sato (1987)
Studia Mathematica
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Coboundaries in
Dalibor Volný, Benjamin Weiss (2004)
Annales de l'I.H.P. Probabilités et statistiques
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Aproximation of Z-cocycles and shift dynamical systems.
I. Filipowicz, J. Kwiatkowski, M. Lemanczyk (1988)
Publicacions Matemàtiques
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Let Gbar = G{nt, nt | nt+1, t ≥ 0} be a subgroup of all roots of unity generated by exp(2πi/nt}, t ≥ 0, and let τ: (X, β, μ) O be an ergodic transformation with pure point spectrum Gbar. Given a cocycle φ, φ: X → Z2, admitting an approximation with speed 0(1/n1+ε, ε>0) there exists a Morse cocycle φ such that the corresponding transformations τφ...