Niels Langeveld

collaborators

3 papers

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…

math.DS2021

Alternating $N$ -expansions

Karma Dajani, Niels Langeveld

We introduce a family of maps generating continued fractions where the digit $1$ in the numerator is replaced cyclically by some given non-negative integers $(N_{1}, \dots, N_{m})$ . We…

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

A Renormalization Scheme for Semi-Regular Continued Fractions

Alternating N-expansions

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

Alternating $N$ -expansions