Propriétés ergodiques des applications rationnelles

Abstract

This is a survey article with focus on the following problem. Given $f:X\to X$ a meromorphic endomorphism of some compact Kähler manifold $X$, construct and study - under natural numerical conditions - a canonical invariant probability measure with remarkable ergodic properties (mixing, hyperbolicity, maximal entropy, etc).

survey, 130p, in french

References in corpus (2)

• Monge-Ampère operators on compact Kähler manifolds
• Value distribution of meromorphic transforms and applications

Cited by in corpus (3)

• Super-potentials for currents on compact Kaehler manifolds and dynamics of automorphisms
• Holomorphic actions of higher rank lattices in dimension three
• Comparison of dynamical degrees for semi-conjugate meromorphic maps