N. Langeveld

activity

20162021

collaborators

4 papers

math.DS2021

Natural extensions and entropy of $α$ -continued fraction expansions with odd partial quotients

Yusuf Hartono, Cor Kraaikamp, Niels Langeveld +1

In an article (which we will refer to as [BM]) of Boca and the fourth author of this paper, a new class of continued fraction expansions with odd partial quotients, parameterized b…

math.DS2019

Matching for a family of infinite measure continued fraction transformations

Charlene Kalle, Niels Langeveld, Marta Maggioni +1

As a natural counterpart to Nakada's $α$ -continued fraction maps, we study a one-parameter family of continued fraction transformations with an indifferent fixed point. We prove th…

math.DS2018

The $β$ -transformation with a hole at 0

Charlene Kalle, Derong Kong, Niels Langeveld +1

For $β \in (1, 2]$ the $β$ -transformation $T_{β} : [0, 1) \to [0, 1)$ is defined by $T_{β} (x) = β x (mod 1)$ . For $t \in [0, 1)$ let $K_{β} (t)$ be the survivor set of $T_{β}$ with hole $(0, t)$ giv…

math.DS2016

Invariant measures for continued fraction algorithms with finitely many digits

Cor Kraaikamp, Niels Langeveld

In this paper we consider continued fraction (CF) expansions on intervals different from $[0, 1]$ . For every $x$ in such interval we find a CF expansion with a finite number of poss…

Natural extensions and entropy of α-continued fraction expansions with odd partial quotients

Matching for a family of infinite measure continued fraction transformations

The β-transformation with a hole at 0

Invariant measures for continued fraction algorithms with finitely many digits

Natural extensions and entropy of $α$ -continued fraction expansions with odd partial quotients

The $β$ -transformation with a hole at 0