On the $\psi$-mixing coefficients of R\'enyi-type maps
Number Theory
2023-09-25 v1 Probability
Abstract
Via dependence with complete connections we investigate the -mixing coefficients of the sequence of incomplete quotients and also of the doubly infinite sequence of extended incomplete quotients of the R\'enyi-type continued fraction expansions. A L\'evy-type approach allows us to obtain good upper bounds for these coefficients.
Keywords
Cite
@article{arxiv.2309.12649,
title = {On the $\psi$-mixing coefficients of R\'enyi-type maps},
author = {Gabriela Ileana Sebe and Dan Lascu},
journal= {arXiv preprint arXiv:2309.12649},
year = {2023}
}
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19 pages