On Kronecker's density theorem, primitive points and orbits of matrices - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Moscow Journal of Combinatorics and Number Theory Année : 2016

On Kronecker's density theorem, primitive points and orbits of matrices

Résumé

We discuss recent quantitative results in connexion with Kronecker's theorem on the density of subgroups in R n and with Dani and Raghavan's theorem on the density of orbits in the spaces of frames. We also propose several related problems. The case of the natural linear action of the unimodular group SL 2 (Z) on the real plane is investigated more closely. We then establish an intriguing link between the configuration of (discrete) orbits of primitive points and the rate of density of dense orbits.
Fichier principal
Vignette du fichier
Aarhus_v2 (1).pdf (512.3 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01481996 , version 1 (08-03-2017)

Identifiants

  • HAL Id : hal-01481996 , version 1

Citer

Michel Laurent. On Kronecker's density theorem, primitive points and orbits of matrices. Moscow Journal of Combinatorics and Number Theory, 2016, 6 (2-3), pp.191-207. ⟨hal-01481996⟩
152 Consultations
186 Téléchargements

Partager

Gmail Facebook X LinkedIn More