Florestan Martin-Baillon

collaborators

3 papers

math.DS2022

Gap between Lyapunov exponents for Hitchin representations

Matteo Costantini, Florestan Martin-Baillon

We study Lyapunov exponents for flat bundles over hyperbolic curves defined via parallel transport over the geodesic flow. We consider them as invariants on the space of Hitchin re…

math.GT2020

Dominating CAT(-1) surface group representations by Fuchsian ones

Florestan Martin-Baillon

We show that for every representation $ρ : π_{1} (S_{g}) \to Isom (X)$ of the fundamental group of a genus $g \geq 2$ surface to the isometry group of a complete $ \text{CA…

math.DS2020

Lyapunov exponents and stability properties of higher rank representations

Florestan Martin-Baillon

Generalizing results of Deroin-Dujardin, we introduce the notion of proximal stability for a holomorphic family $(ρ_{λ})$ of representations $Γ \to SL (d, C)$ , wher…