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math.DS2022★ 1 cited
Matching of orbits of certain -expansions with a finite set of digits
Yufei Chen, Cor Kraaikamp
In this paper we consider a class of continued fraction expansions: the so-called -expansions with a finite digit set, where is an integer. These \emph{-expansions…
math.DS2022
Proofs of ergodicity of piecewise Möbius interval maps using planar extensions
Kariane Calta, Cor Kraaikamp, Thomas A. Schmidt
We give two results for deducing dynamical properties of piecewise Möbius interval maps from their related planar extensions. First, eventual expansivity and the existence of an er…