11 citations · 33 across the 23 of their papers we have counts for
7 papers · 1 filter
Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity
Qizheng You, Jiawen Zhang
In this note, we present examples of non-quasi-geodesic metric spaces which are hyperbolic (i.e., satisfying the Gromov's -point condition) while the intersection of any two met…
Characterisations for uniform amenability
Jingming Zhu, Jiawen Zhang
In this paper, we provide several characterisations for uniform amenability concerning a family of finitely generated groups. More precisely, we show that the Hulanicki-Reiter cond…
Measured expanders
Kang Li, Ján Špakula, Jiawen Zhang
By measured graphs we mean graphs endowed with a measure on the set of vertices. In this context, we explore the relations between the appropriate Cheeger constant and Poincaré ine…
On the structure of asymptotic expanders
Ana Khukhro, Kang Li, Federico Vigolo +1
In this paper, we use geometric tools to study the structure of asymptotic expanders and show that a sequence of asymptotic expanders always admits a "uniform exhaustion by expande…
Coarse median algebras: The intrinsic geometry of coarse median spaces and their intervals
Graham A. Niblo, Nick Wright, Jiawen Zhang
This paper establishes a new combinatorial framework for the study of coarse median spaces, bridging the worlds of asymptotic geometry, algebra and combinatorics. We introduce a si…
A four point characterisation for coarse median spaces
Graham A. Niblo, Nick Wright, Jiawen Zhang
Coarse median spaces simultaneously generalise the classes of hyperbolic spaces and median algebras, and arise naturally in the study of the mapping class groups and many other con…
A characterization for asymptotic dimension growth
Goulnara Arzhantseva, Graham A. Niblo, Nick Wright +1
We give a characterization for asymptotic dimension growth. We apply it to CAT(0) cube complexes of finite dimension, giving an alternative proof of N. Wright's result on their fin…