Holomorphic motions of weighted periodic points
Document type :
Pré-publication ou Document de travail
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]
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
Periodic points
Holomorphic motion
Equilibrium states
HAL domain(s) :
Mathématiques [math]/Systèmes dynamiques [math.DS]
Mathématiques [math]/Variables complexes [math.CV]
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 >
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
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