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arXiv · 2309.12649

On the $ψ$-mixing coefficients of Rényi-type maps

Gabriela Ileana Sebe·Dan Lascu
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Abstract

Via dependence with complete connections we investigate the $ψ$-mixing coefficients of the sequence $(a_n)_{n \in \mathbb{N}}$ of incomplete quotients and also of the doubly infinite sequence $(\overline{a}_l)_{l \in \mathbb{Z}}$ of extended incomplete quotients of the Rényi-type continued fraction expansions. A Lévy-type approach allows us to obtain good upper bounds for these coefficients.

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Gabriela Ileana Sebe, Dan Lascu. 2023-09-22. On the $ψ$-mixing coefficients of Rényi-type maps. https://arxiv.org/abs/2309.12649

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