2 citations · 5 across the 5 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2004
Some remarks on the connectivity of Julia sets for 2-dimensional diffeomorphisms
Romain Dujardin
We explore the connected/disconnected dichotomy for the Julia set of polynomial automorphisms of C^2. We develop several aspects of the question, which was first studied by Bedford…
math.DS2004
Laminar currents and birational dynamics
Romain Dujardin
We study the dynamics of a bimeromorphic selfmap of a compact complex Kähler surface . Under a natural geometric hypothesis, we construct an invariant probability measure, which…
math.DS2004★ 2 cited
On the dynamics near infinity of some polynomial mappings in
Tien-Cuong Dinh, Romain Dujardin, Nessim Sibony
We construct the Green current for a random iteration of "horizontal-like" mappings in two complex dimensions. This is applied to the study of a polynomial map $f:\mathbb{C}^2\to\m…