Comptes Rendus
no. 7
Geometry/Group theory
Conformal dimension on boundary of right-angled hyperbolic buildings
[Dimension conforme du bord d'un immeuble hyperbolique à angles droits]

Présenté par : the Editorial Board

Antoine Clais1
1 Technion, Department of Mathematics, 32000 Haifa, Israel
Comptes Rendus. Mathématique, Volume 355 (2017) no. 7, pp. 819-823.

Dans cette note, on utilise des modules combinatoires sur le bord d'un immeuble hyperbolique à angles droits pour encadrer sa dimension conforme. La borne inférieure obtenue est optimale dans le cas des immeubles fuchsiens.

In this note, we use some combinatorial modulus on the boundary of a right-angled hyperbolic building to control its conformal dimension. The lower bound obtained is optimal in the case of Fuchsian buildings.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.06.006

Antoine Clais 1

1 Technion, Department of Mathematics, 32000 Haifa, Israel 
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Antoine Clais. Conformal dimension on boundary of right-angled hyperbolic buildings. Comptes Rendus. Mathématique, Volume 355 (2017) no. 7, pp. 819-823. doi : 10.1016/j.crma.2017.06.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.06.006/

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