# Quelques Aspects des Systèmes Dynamiques Polynomiaux

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*S. Cantat; A. Chambert-Loir; V. Guedj*

A publication of the Société Mathématique de France

This book is concerned with the dynamics of rational transformations
of projective varieties and meromorphic transformations of compact Kähler
manifolds. Four main viewpoints are developed.

The first article describes the
geometry of the varieties which admit a rational transformation with
interesting dynamical properties; the geometry constrains the existence of such
dynamical systems, but interesting examples with rich dynamics are
described.

The second article explains how complex analysis, potential theory, and Hodge
theory can be married with methods from dynamical systems to describe the
stochastic properties of meromorphic transformations of Kähler manifolds.
Then, arithmetic aspects of algebraic dynamical systems are described in a
third article; in particular, equidistribution theorems in diophantine geometry
and dynamical systems are analyzed and compared.

The fourth article describes the
basics of \(p\)-adic dynamics in one variable.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

#### Readership

Graduate students and research mathematicians.