40 citations · 122 across the 31 of their papers we have counts for
Showing 2018 · math.DSShow all
3 papers · 2 filters
math.DS2018★ 1 cited
Normal distribution of correlation measures of binary sum-of-digits functions
Jordan Emme, Pascal Hubert
In this paper we study correlation measures introduced in \cite{emme_asymptotic_2017}. Denote by the asymptotic density of the set $\mathcal{E}_{a,d}=\{n \in \mathbb{N}, \…
math.DS2018
An origami of genus with arithmetic Kontsevich--Zorich monodromy
Pascal Hubert, Carlos Matheus
In this note, we exploit the arithmeticity criterion of Benoist--Miquel to exhibit an origami in the principal stratum of the moduli space of translation surfaces of genus three wh…
math.DS2018
Triangle tiling billiards and the exceptional family of their escaping trajectories: circumcenters and Rauzy gasket
Olga Paris-Romaskevich, Pascal Hubert
Consider a periodic tiling of a plane by equal triangles obtained from the equilateral tiling by a linear transformation. We study a following tiling billiard: a ball follows strai…