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.
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@article{CRMATH_2017__355_7_819_0, author = {Clais, Antoine}, title = {Conformal dimension on boundary of right-angled hyperbolic buildings}, journal = {Comptes Rendus. Math\'ematique}, pages = {819--823}, publisher = {Elsevier}, volume = {355}, number = {7}, year = {2017}, doi = {10.1016/j.crma.2017.06.006}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2017.06.006/} }
TY - JOUR AU - Clais, Antoine TI - Conformal dimension on boundary of right-angled hyperbolic buildings JO - Comptes Rendus. Mathématique PY - 2017 SP - 819 EP - 823 VL - 355 IS - 7 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.06.006/ DO - 10.1016/j.crma.2017.06.006 LA - en ID - CRMATH_2017__355_7_819_0 ER -
%0 Journal Article %A Clais, Antoine %T Conformal dimension on boundary of right-angled hyperbolic buildings %J Comptes Rendus. Mathématique %D 2017 %P 819-823 %V 355 %N 7 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.06.006/ %R 10.1016/j.crma.2017.06.006 %G en %F CRMATH_2017__355_7_819_0
Clais, Antoine. Conformal dimension on boundary of right-angled hyperbolic buildings. Comptes Rendus. Mathématique, Tome 355 (2017) no. 7, pp. 819-823. doi : 10.1016/j.crma.2017.06.006. http://www.numdam.org/articles/10.1016/j.crma.2017.06.006/
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