Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers
- Kolpakov, Alexander Department of Mathematics, University of Fribourg, Switzerland
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26.05.2012
Published in:
- European Journal of Combinatorics. - 2012, vol. 33, no. 8, p. 1709–1724
English
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 certain 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.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 30492
- DOI 10.1016/j.ejc.2012.04.003
- Persistent URL
- https://folia.unifr.ch/unifr/documents/302791
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