Théorèmes d'équidistribution pour les systèmes dynamiques d'origine arithmétique

Abstract

This survey article is about algebraic dynamics. It is mainly concerned by the arithmetic equidistribution theorems featured by dynamical systems. The contents are: - heights - algebraic dynamics, conjectures - equidistribution theorem on the projective line (after Bilu and Baker). It was written for the sesion 2006 of États de la recherche, Systèmes dynamiques polynomiaux.

To appear in États de la recherche 2006 (Quelques aspects des systèmes dynamiques polynomiaux), Panoramas et synthèses, vol. 30, SMF, 2010

References in corpus (4)

• Questions on self maps of algebraic varieties
• The Elementary Theory of the Frobenius Automorphisms
• The Bogomolov conjecture for totally degenerate abelian varieties
• Zhang's conjecture and squares of abelian surfaces

Cited by in corpus (2)

• Isotriviality is equivalent to potential good reduction for endomorphisms of ${\mathbb{P}}^N$ over function fields
• Some problems of arithmetic origin in rational dynamics