Work

On some operators acting on line arrangements and their dynamics

Year: 2025

Type: article

Abstract: We study some natural operators acting on configurations of points and lines in the plane and remark that many interesting configurations are fixed points for these operators. We review ancient and recent results on line or point arrangements through the realm of these operators. We study the first dynamical properties of the iteration of these operators on some line arrangements.

Source: L’Enseignement Mathématique

DOI: 10.4171/lem/1093

Author: Xavier Roulleau

Institution: Université d'Angers

Language: English

Topic: Mathematics and Applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Award: Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation