On metric properties of substitutions
Mariusz Lemańczyk, Mieczystaw K. Mentzen (1988)
Compositio Mathematica
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Displaying similar documents to “Automorphisms with finite exact uniform rank”
On metric properties of substitutions
A method of solving a cocycle functional equation and applications
J. Kwiatkowski, T. Rojek (1991)
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.
On pointwise ergodic theorems for positive operators
Ryotaro Sato (1990)
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An atomic theory of ergodic spaces
R. Caballero, A. de la Torre (1985)
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On a ratio ergodic theorem
Ryotaro Sato (1987)
Studia Mathematica
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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 the ergodic power function for invertible positive operators
Ryotaro Sato (1988)
Studia Mathematica
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A dominated ergodic estimate for spaces with weights
E. Atencia, A. de la Torre (1982)
Studia Mathematica
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