Multivalued meromorphic application suites and current laminar

Let F n: X 1 → X 2 be a sequence of (multivalued) meromorphic maps between compact Kähler manifolds. We study the asymptotic distribution of preimages of points by F n and, for multivalued self-maps of a compact Riemann surface, the asymptotic distribution of repelling fixed points. Let (Z n) be a sequence of holomorphic images of P s in a projective manifold. We prove that the currents, defined by integration on Z n, properly normalized, converge to currents which satisfy some laminarity property. We also show this laminarity property for the Green currents, of suitable bidimensions, associated to a regular polynomial automorphism of C k or an automorphism of a projective manifold. © 2005 Mathematica Josephina, Inc.