Dynamics of regular birational maps in P^k
Dynamical Systems
2007-05-23 v2 Complex Variables
Abstract
We develop the study of some spaces of currents of bidegree (p,p). As an application we construct the equilibrium measure for a large class of birational maps of P^k as intersection of Green currents. We show that these currents are extremal and that the corresponding measure is mixing.
Cite
@article{arxiv.math/0406367,
title = {Dynamics of regular birational maps in P^k},
author = {Tien-Cuong Dinh and Nessim Sibony},
journal= {arXiv preprint arXiv:math/0406367},
year = {2007}
}
Comments
17 pages, to appear in J. Funct. Analysis