20 citations · 81 across the 32 of their papers we have counts for
37 papers
Structure of hyperbolic polynomial automorphisms of C^2 with disconnected Julia sets
Romain Dujardin, Mikhail Lyubich
For a hyperbolic polynomial automorphism of C^2 with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the…
Degenerate homoclinic bifurcations in complex dimension 2
Romain Dujardin
Unfolding homoclinic tangencies is the main source of bifurcations in 2-dimensional (real or complex) dynamics. When studying this phenomenon, it is common to assume that tangencie…
Hyperbolicity for large automorphism groups of projective surfaces
Serge Cantat, Romain Dujardin
We study the hyperbolicity properties of the action of a non-elementary automorphism group on a compact complex surface, with an emphasis on K3 and Enriques surfaces. A first resul…
When do two rational functions have locally biholomorphic Julia sets?
Romain Dujardin, Charles Favre, Thomas Gauthier
In this article we address the following question, whose interest was recently renewed by problems arising in arithmetic dynamics: under which conditions does there exist a local b…
Invariant measures for large automorphism groups of projective surfaces
Serge Cantat, Romain Dujardin
We classify invariant probability measures for non-elementary groups of automorphisms, on any compact Kähler surface X, under the assumption that the group contains a so-called "pa…
Geometric methods in holomorphic dynamics
Romain Dujardin
In this note we review a selection of contemporary research themes in holomorphic dynamics. The main topics that will be discussed are: geometric (laminar and woven) currents and t…