78 citations · 155 across the 14 of their papers we have counts for
8 papers · 1 filter
Asymptotic properties of infinitesimal characters and applications
Andrés Sambarino
Inspired by Benoist, we study objects linked to integrable tangent vectors on the character variety of a semi-group with values in a semi-simple real-algebraic group $\mathsf G…
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…
Anosov representations and dominated splittings
Jairo Bochi, Rafael Potrie, Andrés Sambarino
We provide a link between Anosov representations introduced by Labourie and dominated splitting of linear cocycles. This allows us to obtain equivalent characterizations for Anosov…
Eigenvalues and Entropy of a Hitchin representation
Rafael Potrie, Andrés Sambarino
We show that the critical exponent of a representation in the Hitchin component of is bounded above, the least upper bound being attained only in the Fuchsian l…
On entropy, regularity and rigidity for convex representations of hyperbolic manifolds
Andrés Sambarino
Given a convex representation of a convex co-compact group of we find upper bounds for the quantity where is the…
The orbital counting problem for hyperconvex representations
Andres Sambarino
We give a precise counting result on the symmetric space of a noncompact real algebraic semisimple group for a class of discrete subgroups of that contains, for example, r…
Hyperconvex representations and exponential growth
Andres Sambarino
Let be a real algebraic semi-simple Lie group and be the fundamental group of a compact negatively curved manifold. In this article we study the limit cone, introduced by B…
Quantitative properties of convex representations
Andrés Sambarino
Let be a discrete subgroup of and fix some euclidean norm on Let be the number of elements in whose operator norm is $\leq t.…