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Koksma’s Inequality and Group Extensions of Kronecker Transformations

Jon Aaronson, Mariusz Lemańczyk, Christian Mauduit and Hitoshi Nakada
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Jon Aaronson: Tel Aviv University, School of Mathematical Sciences
Mariusz Lemańczyk: Nicholas Copernicus University, Institute of Mathematics
Christian Mauduit: Laboratoire de Mathématiques Discrètes
Hitoshi Nakada: Keio University, Dept. Math.

A chapter in Algorithms, Fractals, and Dynamics, 1995, pp 27-50 from Springer

Abstract: Abstract We consider methods of establishing ergodicity of group extensions, proving that a class of cylinder flows are ergodic, coalescent and non-squashable. A new Koksma-type inequality is also obtained.

Keywords: Piecewise Linear; Ergodic Theorem; Group Extension; Continue Fraction Expansion; Irrational Rotation (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0321-3_2

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DOI: 10.1007/978-1-4613-0321-3_2

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