3 citations · 3 across the 6 of their papers we have counts for
8 papers
Nuancing the uniqueness of -rationals
Perrine Jouteur, Olga Paris-Romaskevich, Alexander Thomas
We prove uniqueness of -rational numbers up to conjugacy, using character varieties. Despite the uniqueness, we exhibit a two-parameter family of deformations of rationals with…
Plane geometry of -rationals and Springborn Operations
Perrine Jouteur, Olga Paris-Romaskevich, Alexander Thomas
We study the geometry of -rational numbers, introduced by Morier-Genoud and Ovsienko, for positive real . In particular, we construct and analyse the deformed Farey triangula…
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
Tiling billiards and Dynnikov's helicoid
Olga Paris-Romaskevich
Here are two problems. First, understand the dynamics of a tiling billiard in a cyclic quadrilateral periodic tiling. Second, describe the topology of connected components of plane…
Free actions of large groups on complex threefolds
Serge Cantat, Olga Paris-Romaskevich, Junyi Xie
We classify compact Kähler threefolds with a free group of automorphisms acting freely on .
Automorphisms of compact Kähler manifolds with slow dynamics
Serge Cantat, Olga Paris-Romaskevich
We study the automorphisms of compact Kähler manifolds having slow dynamics. By adapting Gromov's classical argument, we give an upper bound on the polynomial entropy and study its…
Trees and flowers on a billiard table
Olga Paris-Romaskevich
In this work we completely describe the dynamics of triangle tiling billiards. In the first part of this work, we propose a geometric approach of dynamics by introducing natural fo…
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…