4 papers
On the growth of actions of free products
Adrien Le Boudec, Nicolás Matte Bon, Ville Salo
If is a finitely generated group and a -set, the growth of the action of on is the function that measures the largest cardinality of a ball of radius in the…
Liouville property for groups and conformal dimension
Nicolás Matte Bon, Volodymyr Nekrashevych, Tianyi Zheng
Conformal dimension is a fundamental invariant of metric spaces, particularly suited to the study of self-similar spaces, such as spaces with an expanding self-covering (e.g. Julia…
Some torsion-free solvable groups with few subquotients
Adrien Le Boudec, Nicolás Matte Bon
We construct finitely generated torsion-free solvable groups that have infinite rank, but such that all finitely generated torsion-free metabelian subquotients of are virtu…
Subshifts with slow complexity and simple groups with the Liouville property
Nicolás Matte Bon
We study random walk on topological full groups of subshifts, and show the existence of infinite, finitely generated, simple groups with the Liouville property. Results by Matui an…