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.
引用
收藏
页码：819 / 823
页数：5
相关论文
共 12 条
[1]   Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary [J].
Bonk, M ;
Kleiner, B .
GEOMETRY & TOPOLOGY, 2005, 9 :219-246
[2]  
Bourdon M, 1997, GEOM FUNCT ANAL, V7, P245, DOI 10.1007/PL00001619
[3]   Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups [J].
Bourdon, Marc ;
Kleiner, Bruce .
GROUPS GEOMETRY AND DYNAMICS, 2013, 7 (01) :39-107
[4]  
Piaggio MC, 2013, ANN SCI ECOLE NORM S, V46, P495
[5]   Combinatorial Modulus on Boundary of Right-Angled Hyperbolic Buildings [J].
Clais, Antoine .
ANALYSIS AND GEOMETRY IN METRIC SPACES, 2016, 4 (01) :1-53
[6]   The topology at infinity of Coxeter groups and buildings [J].
Davis, MN ;
Meier, J .
COMMENTARII MATHEMATICI HELVETICI, 2002, 77 (04) :746-766
[7]  
Davis MW., 2008, GEOMETRY TOPOLOGY CO
[8]  
Haissinsky P., 2009, SEMINAIRE BOURBAKI A
[9]  
Kle06 Bruce, 2006, INT C MATH, VII, P743
[10]  
Mackay J M., 2010, Conformal Dimension: Theory and Application (University Lecture Series)
12