17 citations · 31 across the 11 of their papers we have counts for
12 papers
Rigidity of the dynamics of on representations into a compact group
Serge Cantat, Christophe Dupont, Florestan Martin-Baillon
Let be a compact Lie group. Let be the free group of rank . We describe the orbits of on whe…
Convexity of complements of limit sets for holomorphic foliations on surfaces
Bertrand Deroin, Christophe Dupont, Victor Kleptsyn
Let be a holomorphic foliation on a compact Káhler surface with hyperbolic singularities and no foliation cycle. We prove that if the limit set of has zer…
Dynamics of fibered endomorphisms of
Christophe Dupont, Johan Taflin
We study the structure and the Lyapunov exponents of the equilibrium measure of endomorphisms of preserving a fibration. We extend the decomposition of the equilibriu…
A distortion theorem for the iterated inverse branches of a holomorphic endomorphism of CP(k)
Francois Berteloot, Christophe Dupont
We linearize the inverse branches of the iterates of holomorphic endomorphisms of CP(k) and thus overcome the lack of Koebe distortion theorem in this setting when k 2. We re…
Directional dimensions of ergodic currents on
Christophe Dupont, Axel Rogue
LLet be a holomorphic endomorphism of of degree . We estimate the local directional dimensions of closed positive currents with respect to ergodic…
Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
Serge Cantat, Christophe Dupont
We classify complex projective surfaces with an automorphism of positive entropy for which the unique invariant measure of maximal entropy is absolutely continuous with respect to…