On exactness and isoperimetric profiles of discrete groups
From author's abstract: We introduce a quasi-isometry invariant related to Property A and explore its connections to various other invariants of finitely generated groups. This allows to establish a direct relation between the asymptotic dimension on one hand and random walks on the other. Property A has been introduced by \textit{G. Yu} in [Invent. Math. 139, No.~1, 201--240 (2000; Zbl 0956.19004)]. The present paper is also related to Vershik's works on amenable groups.
scientific article; zbMATH DE number 5129777
scientific article