Title :

Holomorphic motions of weighted periodic points

Author(s) :

Bianchi, Fabrizio [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Centre National de la Recherche Scientifique [CNRS]
Brévard, Maxence [Auteur]
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Université Toulouse III - Paul Sabatier [UT3]

English keyword(s) :

Equidistribution
Periodic points
Holomorphic motion
Equilibrium states

HAL domain(s) :

Mathématiques [math]/Systèmes dynamiques [math.DS]
Mathématiques [math]/Variables complexes [math.CV]

English abstract : [en]

We study the holomorphic motions of repelling periodic points in stable families of endomorphisms of $\mathbb P^k (\mathbb C)$. In particular, we establish an asymptotic equidistribution of the graphs associated to such ...
Show more >We study the holomorphic motions of repelling periodic points in stable families of endomorphisms of $\mathbb P^k (\mathbb C)$. In particular, we establish an asymptotic equidistribution of the graphs associated to such periodic points with respect to natural measures in the space of all holomorphic motions of points in the Julia sets.Show less >

Language :

Anglais

ANR Project :

ULNE
Centre Européen pour les Mathématiques, la Physique et leurs Interactions
Quantisation, singularités et dynamique holomorphe
Dynamique parabolique, bifurcations et domaines errants

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL