Concept
Arthur Cayley
Publications associées (5)
Asymptotics of Cheeger constants and unitarisability of groups
Nicolas Monod, Maria Gerasimova
Given a group Gamma, we establish a connection between the unitarisability of its uniformly bounded representations and the asymptotic behaviour of the isoperimetric constants of Cayley graphs of Gamma for increasingly large generating sets. The connection ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2020Group Approximation in Cayley Topology and Coarse Geometry, Part II: Fibred Coarse Embeddings
The objective of this series is to study metric geometric properties of disjoint unions of Cayley graphs of amenable groups by group properties of the Cayley accumulation points in the space of marked groups. In this Part II, we prove that a disjoint union ...
2019Small Spectral Radius And Percolation Constants On Non-Amenable Cayley Graphs
Motivated by the Benjamini-Schramm non-unicity of percolation conjecture we study the following question. For a given finitely generated nonamenable group Gamma, does there exist a generating set S such that the Cayley graph (Gamma, S), without loops and m ...
American Mathematical Society2015Horocyclic products of trees
Let T-1, ... , T-d be homogeneous trees with degrees q(1) + 1, ... , q(d) + 1 >= 3; respectively. For each tree, let h : Tj -> Z be the Busemann function with respect to a fixed boundary point ( end). Its level sets are the horocycles. The horocyclic produ ...
2008Cayley Graphs and growth of groups
One of the most fundamental objects in algebra is the group. There exist plenty of different groups. In the following article we consider some free abelian gorups, cyclic groups, free groups and fundamental groups as well as the products of groups and draw ...
2008