7 citations · 18 across the 12 of their papers we have counts for
4 papers · 1 filter
The triangular metric on projective surfaces
León Carvajales, Xian Dai, Beatrice Pozzetti +1
In \cite{ThurstonStretch} Thurston introduced stretch paths and stretch maps between hyperbolic surfaces. In this paper we extend similar constructions to the space of convex real…
Positivity, cross-ratios and the Collar Lemma
Jonas Beyrer, Olivier Guichard, François Labourie +2
We prove that -positive representations of fundamental groups of surfaces (possibly cusped or of infinite type) satisfy a collar lemma, and their associated cross-ratios are pos…
Thurston's asymmetric metrics for Anosov representations
León Carvajales, Xian Dai, Beatrice Pozzetti +1
We provide a good dynamical framework allowing to generalize Thurston's asymmetric metric and the associated Finsler norm from Teichmüller space to large classes of Anosov represen…
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,…