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.
Domaines
Géométrie métrique [math.MG]
Origine : Fichiers produits par l'(les) auteur(s)