100 research outputs found
Regularization of currents and entropy
Let T be a positive closed (p,p)-current of mass 1 on a compact Kahler
manifold X. Then, there exist a constant c, independent of T, and smooth
positive closed (p,p)-currents Tn and Sn of mass c such that Tn-Sn converge
weakly to T. We also extend this result to positive pluriharmonic currents.
Then we study the wedge product of positive closed (1,1)-currents having
continuous potential with positive pluriharmonic currents. As an application,
we give an estimate of the topological entropy of meromorphic maps on compact
Kahler manifolds.Comment: 17 pages, to appear in Ann. Sci. Ecol. Norm. Su
Dynamics of regular birational maps in P^k
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.Comment: 17 pages, to appear in J. Funct. Analysi
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