Symmetric cocycles and classical exponential sums

Alan Forrest

Displaying similar documents to “Symmetric cocycles and classical exponential sums”

BV coboundaries over irrational rotations

Dalibor Volný (1997)

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For every irrational rotation we construct a coboundary which is continuous except at a single point where it has a jump, is nondecreasing, and has zero derivative almost everywhere.

The return time theorem fails on infinite measure-preserving systems

Michael T. Lacey (1997)

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

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A general ratio ergodic theorem for Abel sums

Ryotaro Sato (1973)

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Large deviations for generic stationary processes

Emmanuel Lesigne, Dalibor Volný (2000)

Colloquium Mathematicae

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Let (Ω,A,μ,T) be a measure preserving dynamical system. The speed of convergence in probability in the ergodic theorem for a generic function on Ω is arbitrarily slow.

On the representation of functions by trigonometric series

Thomas William Körner (1996)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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On the individual ergodic theorem for subsequences

Ryotaro Sato (1973)

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Simultaneous diophantine approximation and IP-sets

H. Furstenberg, B. Weiss (1988)

Acta Arithmetica

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Metric properties of alternating Lüroth series

Kalpazidou, Sofia, Knopfmacher, Arnold, Knopfmacher, John (1991)

Portugaliae 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.