On some operators acting on line arrangements and their dynamics

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.

Authors

Institutions

Publication Details

Journal
L’Enseignement Mathématique
Published
2025-02-13
DOI
https://doi.org/10.4171/lem/1093
Citations
1
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
3.73
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On some operators acting on line arrangements and their dynamics

Xavier Roulleau
1 citations
L’Enseignement Mathématique
Holomorphic and Operator Theory
3.73
article

On some operators acting on line arrangements and their dynamics

Xavier Roulleau
article en
1 citations

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.

L’Enseignement MathématiqueVol. 72(1)
Université d'Angers (FR)
Openalex Percentile: Top 13%
Holomorphic and Operator Theory
3.73
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

On some operators acting on line arrangements and their dynamics — Xavier Roulleau · L’Enseignement Mathématique (2025) | TGRS Research Map | TGRS