6 citations · 6 across the 2 of their papers we have counts for
4 papers
Almost blenders and parablenders
Sébastien Biebler
A blender for a surface endomorphism is a hyperbolic basic set for which the union of the local unstable manifolds contains robustly an open set. Introduced by Bonatti and D{í}az i…
Emergence of wandering stable components
Pierre Berger, Sebastien Biebler
We prove the existence of a locally dense set of real polynomial automorphisms of C 2 displaying a wandering Fatou component; in particular this solves the problem of their existen…
A Complex Gap Lemma
Sébastien Biebler
Inspired by the work of Newhouse in one real variable, we introduce a relevant notion of thickness for dynamical Cantor sets of the plane associated to a holomorphic IFS. Our main…
Persistent homoclinic tangencies and infinitely many sinks for residual sets of automorphisms of low degree in C^{3}
Sébastien Biebler
We show that there exists a polynomial automorphism of of degree 2 such that for every automorphism sufficiently close to , admits a tangency betwee…