The emphasis of this introductory course is on pluripotential methods in complex dynamics
in higher dimension. They are based on the compactness properties of plurisubharmonic …

Let T be a positive closed (p, p)-current on a compact Kähler manifold X. We prove the
existence of smooth positive closed (p, p)-forms Tn+ and Tn− such that Tn+− Tn−→ T …

We introduce a notion of super-potential for positive closed currents of bidegree (p, p) on
projective spaces. This gives a calculus on positive closed currents of arbitrary bidegree. We …

Résumé On donne les premiers éléments pour l'étude des propriétés ergodiques d'une
fraction rationnelle à coefficients dans un corps algébriquement clos et complet pour une …

In this article, we pursue the study of the holomorphic dynamics of mapping class groups on
two-dimensional character varieties, also called trace-map dynamics in the literature, as …

We present the first explicit examples of a rational threefold and a Calabi-Yau threefold,
admitting biregular automorphisms of positive entropy not preserving any dominant rational …

For classical dynamical systems, the polynomial entropy serves as a refined invariant of the
topological entropy. In the setting of categorical dynamical systems, that is, triangulated …

Dynamics of automorphisms of compact complex surfaces Page 1 noColor January 6, 2014
7x10 Dynamics of automorphisms of compact complex surfaces Serge Cantat ABSTRACT …

Étale endomorphisms of complex projective manifolds are constructed from two building
blocks up to isomorphism if the good minimal model conjecture is true. They are the …

We study the dynamics of a bimeromorphic map X→ X, where X is a compact complex
Kähler surface. Under a natural geometric hypothesis, we construct an invariant probability …