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arXiv · 1207.2702

Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps

Rui Gao·Weixiao Shen
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Abstract

We consider skew-products of quadratic maps over certain Misiurewicz-Thurston maps and study their statistical properties. We prove that, when the coupling function is a polynomial of odd degree, such a system admits two positive Lyapunov exponents almost everywhere and a unique absolutely continuous invariant probability measure.

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Rui Gao, Weixiao Shen. 2012-07-11. Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps. https://arxiv.org/abs/1207.2702

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