Skew-product systems over infinite interval exchange transformations
Dynamical Systems
2025-03-18 v2
Abstract
We study the ergodic properties (recurrence, discrepancy, diffusion coefficients and ergodicity itself) of a class of -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.
Cite
@article{arxiv.2408.14079,
title = {Skew-product systems over infinite interval exchange transformations},
author = {Henk Bruin and Olga Lukina},
journal= {arXiv preprint arXiv:2408.14079},
year = {2025}
}
Comments
37 pages. New section added (section 2), which explains the relation between the skew-products considered in the paper, and the first return maps of flows on translation surfaces