3 papers
math.DG2020
Hessian of Hausdorff dimension on purely imaginary directions
Martin Bridgeman, Beatrice Pozzetti, Andrés Sambarino +1
We extend classical results of Bridgeman-Taylor and McMullen on the Hessian of the Hausdorff dimension on quasi-Fuchsian space to the class of (1,1,2)-hyperconvex representations,…
math.DG2019
Conformality for a robust class of non-conformal attractors
Beatrice Pozzetti, Andrés Sambarino, Anna Wienhard
In this paper we investigate the Hausdorff dimension of limit sets of Anosov representations. In this context we revisit and extend the framework of hyperconvex representations and…
math.DG2017
Simple root flows for Hitchin representations
Martin Bridgeman, Richard Canary, François Labourie +1
We study simple root flows and Liouville currents for Hitchin representations. We show that the Liouville current is associated to the measure of maximal entropy for a simple root…