4 papers · 1 filter
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,…
Anosov representations with Lipschitz limit set
Beatrice Pozzetti, Andrés Sambarino, Anna Wienhard
We study Anosov representations whose limit set has intermediate regularity, namely is a Lipschitz submanifold of a flag manifold. We introduce an explicit linear functional, the u…
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…
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…