4 papers
Lyapunov exponents of the Brownian motion on a Kähler manifold
Jeremy Daniel, Bertrand Deroin
If E is a flat bundle of rank r over a Kähler manifold X, we define the Lyapunov spectrum of E: a set of r numbers controlling the growth of flat sections of E, along Brownian traj…
Super-maximal representations from fundamental groups of punctured surfaces to
Bertrand Deroin, Nicolas Tholozan
We study a particular class of representations from the fundamental groups of punctured spheres to the group (and their moduli spaces), that we…
The group of almost-periodic homeomorphisms of the real line
Bertrand Deroin
We study the group of almost-periodic homeomorphisms of the real line. Our main result states that an action of a finitely generated group on the real line without global fixed poi…
On the question of ergodicity for minimal group actions on the circle
Bertrand Deroin, Victor Kleptsyn, Andrés Navas
This work is devoted to the study of minimal, smooth actions of finitely generated groups on the circle. We provide a sufficient condition for such an action to be ergodic (with re…