Zero Lyapunov exponents in transitive skew products of iterated function systems
Abstract
We study the class of transitive skew products associated with iterated function systems of circle diffeomorphisms. We approximate any of those skew products by maps in this class with 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 periodicmeasures.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
advanced mathematical theories
Publication details
- Journal / source
- Proceedings of the Royal Society of Edinburgh Section A Mathematics
- Pages
- 1–16
- Publication date
- 28 April 2026
- Language
- EN