Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2012

Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers

Résumé

A connection between real poles of the growth functions for Coxeter groups acting on hyperbolic space of dimensions three and greater and algebraic integers is investigated. In particular, a geometric convergence of fundamental domains for cocompact hyperbolic Coxeter groups with finite-volume limiting polyhedron provides a relation between Salem numbers and Pisot numbers. Several examples conclude this work.
Fichier principal
Vignette du fichier
growth_and_alg_numbers.pdf (552.97 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00699562 , version 1 (21-05-2012)
hal-00699562 , version 2 (26-05-2012)

Identifiants

  • HAL Id : hal-00699562 , version 1

Citer

Alexander Kolpakov. Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers. 2012. ⟨hal-00699562v1⟩
71 Consultations
220 Téléchargements

Partager

Gmail Facebook X LinkedIn More