Laminar currents and birational dynamics
Dynamical Systems
2007-05-23 v2 Complex Variables
Abstract
We study the dynamics of a bimeromorphic selfmap of a compact complex K\"ahler surface . Under a natural geometric hypothesis, we construct an invariant probability measure, which is mixing, hyperbolic and of maximal entropy. The proof relies heavily on the theory of laminar currents and is new even in the case of polynomial automorphisms of . This extends recent results by E. Bedford and J. Diller.
Cite
@article{arxiv.math/0409557,
title = {Laminar currents and birational dynamics},
author = {Romain Dujardin},
journal= {arXiv preprint arXiv:math/0409557},
year = {2007}
}
Comments
Added more preliminaries on laminar currents and other minor corrections. To appear in Duke Math. J