Skew-product systems over infinite interval exchange transformations

Autor: Bruin, Henk, Lukina, Olga
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 35 pages
Databáze: arXiv