Florestan Martin-Baillon

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20202026

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math.DS2026

Rigidity of the dynamics of $Aut (F_{n})$ on representations into a compact group

Serge Cantat, Christophe Dupont, Florestan Martin-Baillon

Let $G$ be a compact Lie group. Let $F_{n}$ be the free group of rank $n$ . We describe the orbits of $Aut (F_{n})$ on $Hom (F_{n}; G)$ whe…

math.DS2024

Dynamics on Markov surfaces: classification of stationary measures

Serge Cantat, Christophe Dupont, Florestan Martin-Baillon

Consider the four punctured sphere $S_{4}^{2}$ . Each choice of four traces, one for each puncture, determines a relative character variety for the representations of the fun…

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.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…

Rigidity of the dynamics of Aut(Fn​) on representations into a compact group

Dynamics on Markov surfaces: classification of stationary measures

Gap between Lyapunov exponents for Hitchin representations

Lyapunov exponents and stability properties of higher rank representations

Rigidity of the dynamics of $Aut (F_{n})$ on representations into a compact group