Matias Carrasco Piaggio

collaborators

2 papers

math.MG2016

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 $N ⋊_{α} R$ , where $N$ is a simply connected nilpotent Lie group and $α$ is a derivation of $Lie (N)$ whose eigenval…

math.PR2015

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…