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Comptes Rendus Mathématique
Volume 355, n° 7
pages 819-823 (juillet 2017)
Doi : 10.1016/j.crma.2017.06.006
Received : 6 May 2016 ;  accepted : 9 June 2017
Conformal dimension on boundary of right-angled hyperbolic buildings
Dimension conforme du bord d'un immeuble hyperbolique à angles droits
 

Antoine Clais
 Technion, Department of Mathematics, 32000 Haifa, Israel 

Abstract

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.

The full text of this article is available in PDF format.
Résumé

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.

The full text of this article is available in PDF format.


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