Skew-product systems over infinite interval exchange transformations

arXiv (Cornell University)

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.

Authors 2

1. Henk Bruin

   University of Vienna

   Affiliation as printed

   Faculty of Mathematics , University of Vienna , Oskar-Morgenstern-Platz 1 , 1090 Vienna , Austria

2. Olga Lukina Aachen Mathematical Institute

   Leiden University

   Affiliation as printed

   Mathematical Institute , Leiden University , P.O. Box 9512 , 2300 RA Leiden , The Netherlands