On the -mixing coefficients of R\'enyi-type maps

Abstract

Via dependence with complete connections we investigate the -mixing coefficients of the sequence (an)n ∈ N of incomplete quotients and also of the doubly infinite sequence (al)l ∈ Z 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.

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