CAT(0) spaces and expanders.
type: Item
instance of: scholarly article
title: CAT(0) spaces and expanders.
zbMATH Open document ID: 1284.20043
author: Takefumi Kondo
published in: Mathematische Zeitschrift
publication date: 2012-06-26T00:00:00Z
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 20P05
Mathematics Subject Classification ID: 53C23
zbMATH DE Number: 6050598
zbMATH Keywords: CAT(0) spaces
zbMATH Keywords: Izeki-Nayatani invariants
zbMATH Keywords: fixed-point theorems
zbMATH Keywords: random groups
zbMATH Keywords: harmonic maps
zbMATH Keywords: finitely generated groups
zbMATH Keywords: Markov types
zbMATH Keywords: spectral gaps
MaRDI profile type: Publication
full work available at URL: s00209-011-0866-y
OpenAlex ID: W2105497244
cites work: Markov chains, Riesz transforms and Lipschitz maps
cites work: On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
cites work: Q4720067
cites work: Groups Not Acting on Manifolds
cites work: Random groups have fixed points on \(\text{CAT}(0)\) cube complexes
cites work: Central and \(L^p\)-concentration of 1-Lipschitz maps into \(R\)-trees
cites work: Observable concentration of \(mm\)-spaces into spaces with doubling measures
cites work: \(\text{CAT}(\kappa)\)-spaces: construction and concentration
cites work: Random walk in random groups.
cites work: Fixed-point property of random groups.
cites work: \(N\)-step energy of maps and the fixed-point property of random groups.
cites work: Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
cites work: Q5748031
cites work: Girth and Euclidean distortion
cites work: Ramanujan graphs
cites work: Towards a Calculus for Non-Linear Spectral Gaps [Extended Abstract]
cites work: Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces
cites work: Poincaré inequalities, embeddings, and wild groups
cites work: Continuity of a certain invariant of a measure on a CAT(0) space
cites work: CAT(0) spaces on which a certain type of singularity is bounded
cites work: Fixed point property for a CAT(0) space which admits a proper cocompact group action
cites work: Generalized harmonic maps and representations of discrete groups
cites work: Property (T) and Kazhdan constants for discrete groups
DOI: 10.1007/S00209-011-0866-Y
Recommended article: CAT(0) groups with specified boundary.
Recommended article: Expanders and box spaces
Recommended article: Q5228738
Recommended article: PTOLEMAIC SPACES AND CAT(0)
Recommended article: Zero-selectors and GO spaces
Recommended article: Extendible spaces
Recommended article: Expanders and dimensional expansion
Recommended article: CAT(0) is an algorithmic property
Recommended article: Q4816505
Recommended article: Q4822076
description: scientific article; zbMATH DE number 6050598