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

Gabriela Ileana Sebe; Dan Lascu

paper

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

arXiv:2309.12649

Abstract

Via dependence with complete connections we investigate the $ψ$ -mixing coefficients of the sequence $(a_{n})_{n \in N}$ of incomplete quotients and also of the doubly infinite sequence $(a_{l})_{l \in Z}$ 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.

arXiv comment19 pages

On the ψ-mixing coefficients of Rényi-type maps

Abstract

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