Florestan Martin-Baillon

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math.DS2026

Spectrum of SL(2,R)-characters: the once-punctured torus case

Selim Ghazouani, Florestan Martin-Baillon

Consider a topological surface $I^£$ . We introduce the spectrum of a representation from the fundamental group of $I^£$ to SL(2,R), which is a subset of projective measured laminatio…

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…

Spectrum of SL(2,R)-characters: the once-punctured torus case

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

Dynamics on Markov surfaces: classification of stationary measures

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