Dynamics of regular birational maps in P^k
arXiv:math/0406367
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.
17 pages, to appear in J. Funct. Analysis