2 citations · 2 across the 6 of their papers we have counts for
6 papers
Isomorphisms and automorphisms of graph products of groups
Amandine Escalier, Camille Horbez
We solve the isomorphism problem for graph products of groups. We give a generating set for the automorphism group of a graph product of groups, generalizing the one given by Laure…
Graph products and measure equivalence: classification, rigidity, and quantitative aspects
Amandine Escalier, Camille Horbez
We study graph products of groups from the viewpoint of measured group theory. We first establish a full measure equivalence classification of graph products of countably infinite…
Drawing Diestel-Leader graphs in 3D
Amandine Escalier
In this short note we give some code to represent Diestel-Leader graphs in 3D. The code is written in TikZ.
Sofic approximations and quantitative measure couplings
Amandine Escalier
We build quantitative measure subgroup couplings from a Brieussel-Zheng diagonal product to a lamplighter group. We use them to answer the inverse problem of the quantification; na…
Building prescribed quantitative orbit equivalence with the group of integers
Amandine Escalier
Two groups are orbit equivalent if they both admit an action on a same probability space that share the same orbits. In particular the Ornstein-Weiss theorem implies that all infin…
Local-to-Global-rigidity of lattices in
Amandine Escalier
A vertex-transitive graph is called Local-to-Global rigid if there exists such that every other graph whose balls of radius are isometric to the balls of ra…