N. Langeveld

activity

20162026

β

-shifts as greedy

β

-shifts with a hole

5 citations · 8 across the 9 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

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

A Renormalization Scheme for Semi-Regular Continued Fractions

Niels Langeveld, David Ralston

In this article we study a renormalization scheme with which we find all semi-regular continued fractions of a number in a natural way. We define two maps, T_slow and T_fast: these…

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

A Renormalization Scheme for Semi-Regular Continued Fractions

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