2 citations · 2 across the 4 of their papers we have counts for
5 papers
On quasi-isometry invariants associated to the derivation of a Heintze group
Matias Carrasco Piaggio, Emiliano Sequeira
A a Heintze group is a Lie group of the form , where is a simply connected nilpotent Lie group and is a derivation of whose eigenval…
Equivalence of zero entropy and the Liouville property for stationary random graphs
Matias Carrasco Piaggio, Pablo Lessa
We prove that any stationary random graph satisfying a growth condition and having positive entropy almost surely admits an infinite dimensional space of bounded harmonic functions…
Orlicz spaces and the large scale geometry of Heintze groups
Matias Carrasco Piaggio
We consider an Orlicz space based cohomology for metric (measured) spaces with bounded geometry. We prove the quasi-isometry invariance for a general Young function. In the hyperbo…
Conformal dimension and canonical splittings of hyperbolic groups
Matias Carrasco Piaggio
We prove a general criterion for a metric space to have conformal dimension one. The conditions are stated in terms of the existence of enough local cut points in the space. We the…
On the conformal gauge of a compact metric space
Matias Carrasco Piaggio
In this article we study the Ahlfors regular conformal gauge of a compact metric space , and its conformal dimension . Using a sequence of finite cov…