Ir.Dr. Niels Langeveld

Research interests (keywords)

  • Ergodic theory and dynamical systems
  • Numeration systems (in particular, beta-expansions and continued fractions)
  • Open dynamical systems
  • Symbolic dynamics
  • Interval maps
  • Natural extensions
  • Matching



[9] Natural extensions and entropy of α-continued fraction expansions with odd partial quotients
Discrete Contin. Dyn. Syst. 43 (2023), no. 8, 2852–2888., with Yusuf Hartono, Cor Kraaikamp, and Claire Merriman.

[8] Generalizations of Sturmian sequences associated with N-continued fraction algorithms 
 J. Number Theory 250 (2023), 49–83. , with  Lucía Rossi and Jörg M. Thuswaldner.

[7]  Intermediate β-shifts as greedy β-shifts with a hole
Acta Math. Hung. 170, No. 1, 269-301 (2023), with  Tony Samuel.

[6] Alternating N-expansions.
Integers 22 (2022), Paper No. A65, 25 pp., with Karma Dajani.

[5] Tanaka-Ito alpha-continued fractions and matching.
Nonlinearity 34 (2021), no. 6, 3565–3582, with Carlo Carminati and Wolfgang Steiner.

[4] Matching for a family of infinite measure continued fraction transformations.
Discrete Contin. Dyn. Syst. 40 (2020), no. 11, 6309–6330, with Charlene Kalle, Marta Maggioni and Sara Munday.

[3] The beta-transformation with a hole at 0.
Ergodic Theory Dynam. Systems 40 (2020), no. 9, 2482–2514, with Charlene Kalle, Derong Kong and Wenxia Li.

[2] Invariant measures for continued fraction algorithms with finitely many digits.
J. Math. Anal. Appl. 454 (2017), no. 1, 106–126, with Cor Kraaikamp.

[1] Continued fraction expansions with variable numerators.
Ramanujan J. 37 (2015), no. 3, 617–639, with Karma Dajani and Cor Kraaikamp.


click here to see my fractal art (personal webpage in Dutch).

click here to see a manual to make a fractal scarf (collaboration with Anja Rueten-Budde).

Organising One World Numeration Seminar together with Shigeki Akiyama, Ayreena Bakhtawar, Karma Dajani, Kevin Hare, Hajime Kaneko, Lingmin Liao and Wolfgang Steiner.