C. Kraaikamp

activity

20062026

most citedNatural extensions and entropy of

α

-continued fractions

24 citations · 56 across the 22 of their papers we have counts for

collaborators

Showing 2023 · math.DSShow all

3 papers · 2 filters

math.DS2023★ 4 cited

A unifying theory for metrical results on regular continued fraction convergents and mediants

Karma Dajani, Cor Kraaikamp, Slade Sanderson

We revisit Ito's (\cite{I1989}) natural extension of the Farey tent map, which generates all regular continued fraction convergents and mediants of a given irrational. With a sligh…

math.DS2023

(non)-matching and (non)-periodicity for $(N, α)$ -expansions

Cor Kraaikamp, Niels Langeveld

Recently a new class of continued fraction algorithms, the $(N, α$ )-expansions, was introduced for each $N \in N$ , $N \geq 2$ and $α \in (0, N - 1]$ . Each of these continue…

math.DS2023

Continuity of entropy for all $α$ -deformations of an infinite class of continued fraction transformations

Kariane Calta, Cor Kraaikamp, Thomas A. Schmidt

We extend the results of our 2020 paper in the Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. There, we associated to each of an infinite family of triangle Fuch…

A unifying theory for metrical results on regular continued fraction convergents and mediants

(non)-matching and (non)-periodicity for (N,α)-expansions

Continuity of entropy for all α-deformations of an infinite class of continued fraction transformations

(non)-matching and (non)-periodicity for $(N, α)$ -expansions

Continuity of entropy for all $α$ -deformations of an infinite class of continued fraction transformations