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

页码：819 / 823

页数：5

共 50 条

[31] Topological and algebraic properties of universal groups for right-angled buildings
Bossaert, Jens
De Medts, Tom
FORUM MATHEMATICUM, 2021, 33 (04) : 867 - 888
[32] RIGHT-ANGLED SUPEREXCHANGE
CASSELMAN, TN
KEFFER, F
PHYSICAL REVIEW LETTERS, 1960, 4 (10) : 498 - 500
[33] On asymptotic dimension of amalgamated products and right-angled Coxeter groups
Dranishnikov, Alexander
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2008, 8 (03): : 1281 - 1293
[34] Hyperbolic buildings, conformal dimension and Mostow rigidity
Bourdon, M
GEOMETRIC AND FUNCTIONAL ANALYSIS, 1997, 7 (02) : 245 - 268
[35] Two-sided bounds for the volume of right-angled hyperbolic polyhedra
A. Yu. Vesnin
D. Repovš
Mathematical Notes, 2011, 89 : 31 - 36
[36] Two-Sided Bounds for the Volume of Right-Angled Hyperbolic Polyhedra
Vesnin, A. Yu.
Repovs, D.
MATHEMATICAL NOTES, 2011, 89 (1-2) : 31 - 36
[37] On the discreteness of states accessible via right-angled paths in hyperbolic space
Lessa, Pablo
Garcia, Ernesto
ENSEIGNEMENT MATHEMATIQUE, 2020, 66 (03): : 383 - 407
[38] Right-angled Coxeter groups with non-planar boundary
Dani, Pallavi
Haulmark, Matthew
Walsh, Genevieve
GROUPS GEOMETRY AND DYNAMICS, 2023, 17 (01) : 127 - 155
[39] Infinite generation of non-cocompact lattices on right-angled buildings
Thomas, Anne
Wortman, Kevin
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2011, 11 (02): : 929 - 938
[40] Incircles of right-angled triangles
Clarke, Robert J.
MATHEMATICAL GAZETTE, 2005, 89 (514): : 82 - 86

← 1 2 3 4 5 →