Zero Lyapunov Exponents in Transitive Skew-products of Iterated Function Systems
Dynamical Systems
2026-04-21 v2
Abstract
We study the class of transitive skew-products associated with iterated function systems of circle diffeomorphisms. We can approximate any transitive skew-product by maps in this class that have a robustly zero Lyapunov exponent. In particular, we prove the existence of non-hyperbolic ergodic measures for an open and dense subset of transitive skew-products. Moreover, these measures have full support and are the weak limit of periodic measures.
Cite
@article{arxiv.2403.11040,
title = {Zero Lyapunov Exponents in Transitive Skew-products of Iterated Function Systems},
author = {Pablo G. Barrientos and Joel Angel Cisneros},
journal= {arXiv preprint arXiv:2403.11040},
year = {2026}
}