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math.GR2023
Metric properties of boundary maps, Hilbert entropy and non-differentiability
Beatrice Pozzetti, Andrés Sambarino
We interpret the Hilbert entropy of a convex projective structure on a closed higher-genus surface as the Hausdorff dimension of the non-differentiability points of the limit set i…
math.GR2020
A collar lemma for partially hyperconvex surface group representations
Jonas Beyrer, Beatrice Pozzetti
We show that a collar lemma holds for Anosov representations of fundamental groups of surfaces into $\SL(n,\R)$ that satisfy partial hyperconvexity properties inspired from Labouri…