Skew-product systems over infinite interval exchange transformations

Nonlinearity, vol. 38, pp. 065015

Abstract

Abstract We study the ergodic properties (recurrence, discrepancy, diffusion coefficients and ergodicity itself) of a class of 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, PO Box 9512, 2300 RA Leiden, The Netherlands