Persistence of Wandering Intervals in Self-Similar Affine Interval Exchange Transformations
Dynamical Systems
2008-01-15 v1 Information Theory
math.IT
Abstract
In this article we prove that given a self-similar interval exchange transformation T, whose associated matrix verifies a quite general algebraic condition, there exists an affine interval exchange transformation with wandering intervals that is semi-conjugated to it. That is, in this context the existence of Denjoy counterexamples occurs very often, generalizing the result of M. Cobo in [C].
Keywords
Cite
@article{arxiv.0801.2088,
title = {Persistence of Wandering Intervals in Self-Similar Affine Interval Exchange Transformations},
author = {Xavier Bressaud and Pascal Hubert and Alejandro Maass},
journal= {arXiv preprint arXiv:0801.2088},
year = {2008}
}