30 citations · 115 across the 17 of their papers we have counts for
18 papers
Hyperbolic Staircases: Periodic Paths on -gons
Mei Rose Connor, Diana Davis, Paige Helms +4
The study of polygonal billiards, particularly those in the regular pentagon, has been the subject of two recent papers. One of these papers approaches the problem of discovering t…
Periodic paths on the pentagon, double pentagon and golden L
Diana Davis, Samuel Lelièvre
We give a tree structure on the set of all periodic directions on the golden L, which gives an associated tree structure on the set of periodic directions for the pentagon billiard…
Interoperability in the OpenDreamKit Project: The Math-in-the-Middle Approach
Paul-Olivier Dehaye, Michael Kohlhase, Alexander Konovalov +3
OpenDreamKit --- "Open Digital Research Environment Toolkit for the Advancement of Mathematics" --- is an H2020 EU Research Infrastructure project that aims at supporting, over the…
The Lagrange spectrum of some square-tiled surfaces
Pascal Hubert, Samuel Lelièvre, Luca Marchese +1
Lagrange spectra have been defined for closed submanifolds of the moduli space of translation surfaces which are invariant under the action of SL(2,R). We consider the closed orbit…
A sharper threshold for random groups at density one-half
Moon Duchin, Kasia Jankiewicz, Shelby C. Kilmer +3
In the density model of random groups, we consider presentations with any fixed number m of generators and many random relators of length l, sending l to infinity. If d is a "densi…
Everything is illuminated
Samuel Lelievre, Thierry Monteil, Barak Weiss
We study geometrical properties of translation surfaces: the finite blocking property, bounded blocking property, and illumination properties. These are elementary properties which…