The horofunction boundary and isometry group of the Hilbert geometry

Cormac Walsh 1, 2
2 MAXPLUS - Max-plus algebras and mathematics of decision
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR
Abstract : The horofunction boundary is a means of compactifying metric spaces that was introduced by Gromov in the 1970s. We describe explicitly the horofunction boundary of the Hilbert geometry, and sketch how it may be used to study the isometry group of this space.
Type de document :
Chapitre d'ouvrage
Athanase Papadopoulos and Marc Troyanov. Handbook of Hilbert Geometry, 22, European Mathematical Society, 2014, IRMA Lectures in Mathematics and Theoretical Physics, 978-3-03719-147-7
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https://hal.inria.fr/hal-00782827
Contributeur : Canimogy Cogoulane <>
Soumis le : mercredi 30 janvier 2013 - 16:32:45
Dernière modification le : jeudi 12 avril 2018 - 01:48:44

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  • HAL Id : hal-00782827, version 1
  • ARXIV : 1411.6175

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Cormac Walsh. The horofunction boundary and isometry group of the Hilbert geometry. Athanase Papadopoulos and Marc Troyanov. Handbook of Hilbert Geometry, 22, European Mathematical Society, 2014, IRMA Lectures in Mathematics and Theoretical Physics, 978-3-03719-147-7. 〈hal-00782827〉

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