26 citations · 105 across the 26 of their papers we have counts for
4 papers · 1 filter
On the ergodic theory of free group actions by real-analytic circle diffeomorphisms
Bertrand Deroin, Victor Kleptsyn, Andrés Navas
We consider finitely generated groups of real-analytic circle diffeomorphisms. We show that if such a group admits an exceptional minimal set (i.e., a minimal invariant Cantor set)…
Dominating surface group representations by Fuchsian ones
Bertrand Deroin, Nicolas Tholozan
We prove that a representation from the fundamental group of a closed surface of negative Euler characteristic with values in the isometry group of a Riemannian manifold of section…
Complex projective structures: Lyapunov exponent, degree and harmonic measure
Bertrand Deroin, Romain Dujardin
We study several new invariants associated to a holomorphic projective structure on a Riemann surface of finite analytic type: the Lyapunov exponent of its holonomy which is of pro…
Lyapunov exponents for surface groups representations
Bertrand Deroin, Romain Dujardin
Let (ρ_\la)_{\la\in \La} be a holomorphic family of representations of a surface group π_1(S) into PSL(2,C), where S is a topological (possibly punctured) surface with negative Eul…