March 16, 2024Open Access

Zero Lyapunov Exponents in Transitive Skew-products of Iterated Function Systems

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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.

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Barrientos et al. (Sat,) studied this question.

synapsesocial.com/papers/68e73cb2b6db6435876b5c22 https://doi.org/https://doi.org/10.48550/arxiv.2403.11040

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Zero Lyapunov Exponents in Transitive Skew-products of Iterated Function Systems

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