11 citations · 16 across the 7 of their papers we have counts for
8 papers
Lacunary series, resonances, and automorphisms of with a round Siegel domain
Davoud Cheraghi, Francois Berteloot
We construct transcendental automorphims of having an unbounded and regular Siegel domain.
The Mandelbrot set is the shadow of a Julia set
Francois Berteloot, Tien-Cuong Dinh
Working within the polynomial quadratic family, we introduce a new point of view on bifurcations which naturally allows to see the seat of bifurcations as the projection of a Julia…
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…
Perturbations d'exemples de Lattès et dimension de Hausdorff du lieu de bifurcation
François Berteloot, Fabrizio Bianchi
We give an estimate for the Hausdorff dimension of the bifurcation locus of a family of endomorphisms of . This dimension is maximal near isolated Lattès…
On the geometry of bifurcation currents for quadratic rational maps
François Berteloot, Thomas Gauthier
We describe the behaviour at infinity of the bifurcation current in the moduli space of quadratic rational maps. To this purpose, we extend it to some closed, positive (1, 1)-curre…
Distribution of polynomials with cycles of given multiplier
Giovanni Bassanelli, Francois Berteloot
In the family of degree polynomials the hypersurfaces defined by the existence of a cycle of period and multiplier are shown to equiditribute the bifurcation curre…