2 citations · 4 across the 5 of their papers we have counts for
5 papers
On the stability of holomorphic families of endomorphisms of
François Berteloot, Xavier Buff
In the context of holomorphic families of endomorphisms, we show that various notions of stability are equivalent. This allows us to both extend and simplify the ar…
Ramification current, post-critical normality and stability of holomorphic endomorphisms of
François Berteloot, Maxence Brévard
In the context of holomorphic families of endomorphisms of , we prove that stability in the sense of [BBD18] is equivalent to a summability condition for the post-crit…
Bifurcation currents in holomorphic families of rational maps
François Berteloot
The aim of these lectures is the study of bifurcations within holomorphic families of polynomials or rational maps by mean of ergodic and pluripotential theoretic tools.
Existence of parabolic boundary points of certain domains in
François Berteloot, Ninh Van Thu
In this paper, the existence of parabolic boundary points of certain convex domains in is given. On the other hand, the nonexistence of parabolic boundary points of i…
Bifurcation currents in holomorphic dynamics on
Giovanni Bassanelli, François Berteloot
We establish a formula for the sum of the Lyapounov exponents of an holomorphic endomorphism of . For an holomorphic family of such endomorphisms we define the {\em bifu…