Conformal dimension on boundary of right-angled hyperbolic buildings

被引：1
|
作者：
Clais, Antoine [1 ]
机构：
[1] Technion, Dept Math, IL-32000 Haifa, Israel
来源：
COMPTES RENDUS MATHEMATIQUE | 2017年 / 355卷 / 07期
关键词：
COXETER GROUPS;
D O I：
10.1016/j.crma.2017.06.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：819 / 823
页数：5
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