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arXiv · 2607.21516

Decay of Correlations for Partially Hyperbolic Skew-Products

José F. Alves·Wael Bahsoun
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Abstract

We develop a technique based on sectional transfer operators and the regularity of their fixed points to study rates of correlation decay for partially hyperbolic skew-products. To illustrate the range of applicability of this technique, we apply it to a family of Viana like maps with non-uniformly contracting fibres, a family of skew-product maps with non-uniformly expanding base dynamics and to a generalised family of heterochaos baker maps. The latter partially hyperbolic systems have recently been an active topic of research due to their connection with the Dyck shift.

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José F. Alves, Wael Bahsoun. 2026-07-23. Decay of Correlations for Partially Hyperbolic Skew-Products. https://arxiv.org/abs/2607.21516

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