Niels Langeveld

Dr. Niels Langeveld is a researcher in the Chair of Mathematics, Statistics and Geometry at the University of Leoben. His work focuses on ergodic theory, dynamical systems, and numeration systems, particularly beta-expansions and continued fractions. He explores open dynamical systems, symbolic dynamics, interval maps, and natural extensions, with a strong emphasis on matching phenomena in these systems.

• Research interests: Ergodic Theory, Dynamical Systems, Numeration Systems, Beta-expansions, Continued Fractions, Open Dynamical Systems, Symbolic Dynamics, Interval Maps, Natural Extensions, Matching
• Contact: niels.langeveld@unileoben.ac.at, +43 3842 402-3805
• Office hours: Mon, Wed 11:00 - 12:00

Langeveld's research spans continued fraction algorithms, matching properties, and their connections to ergodic theory and symbolic dynamics. Recent publications analyze semi-regular continued fractions, (N,α)-expansions, and bifurcation sets. His work often intersects with collaborations in number theory and dynamical systems.

He is actively involved in organizing the One World Numeration Seminar with colleagues like Shigeki Akiyama and Karma Dajani.