Matias Carrasco Piaggio

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20122016

most citedOn quasi-isometry invariants associated to the derivation of a Heintze group

2 citations · 2 across the 4 of their papers we have counts for

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math.MG2016★ 2 cited

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.MG2014

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…

math.MG2013

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…

math.MG2012

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 $(X, d)$ , and its conformal dimension $dim_{A R} (X, d)$ . Using a sequence of finite cov…