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arXiv · 2408.14079

Skew-product systems over infinite interval exchange transformations

Henk Bruin·Olga Lukina
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Abstract

We study the ergodic properties (recurrence, discrepancy, diffusion coefficients and ergodicity itself) of a class of $\mathbb Z$-extensions over infinite interval exchange transformations called rotated odometers. The choice of a skew-function is motivated by the use in the study of parallel flows on a particular staircase manifold of infinite genus.

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Henk Bruin, Olga Lukina. 2024-08-26. Skew-product systems over infinite interval exchange transformations. https://arxiv.org/abs/2408.14079

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