Let X be a complex projective manifold and let f be a dominating rational map from X onto X. We show that the topological entropy h(f) of f is bounded from above by the logarithm of its maximalâ€¦ (More)

The emphasis of this introductory course is on pluripotential methods in complex dynamics in higher dimension. They are based on the compactness properties of plurisubharmonic (p.s.h.) functions andâ€¦ (More)

and some additional regularity properties. Very likely, the currents T will describe the distribution of invariant manifolds of codimension s corresponding to the smallest Lyapounov exponents. Let dpâ€¦ (More)

We introduce a notion of super-potential for positive closed currents of bidegree (p, p) on projective spaces. This gives a calculus on positive closed currents of arbitrary bidegree. We define inâ€¦ (More)

We prove exponential estimates for plurisubharmonic functions with respect to Monge-AmpÃ¨re measures with HÃ¶lder continuous potential. As an application, we obtain several stochastic properties forâ€¦ (More)

Let f be a holomorphic endomorphism of P k having an attracting set A. We construct an attracting current and an equilibrium measure associated to A. The attracting current is weakly laminar andâ€¦ (More)

Let f be a non-invertible holomorphic endomorphism of P k , f n its iterate of order n and Âµ the equilibrium measure of f. We estimate the speed of convergence in the following known result. If a isâ€¦ (More)

Let F n : X 1 âˆ’â†’ X 2 be a sequence of (multivalued) meromorphic maps between compact KÃ¤hler manifolds. We study the asymptotic distribution of preimages of points by F n and the asymptoticâ€¦ (More)

Let f : X â†’ X be a dominant meromorphic map on a projective manifold X which preserves a meromorphic fibration Ï€ : X â†’ Y of X over a projective manifold Y. We establish formulas relating theâ€¦ (More)

Let T be a positive closed (p, p)-current on a compact KÃ¤hler manifold X. Then, there exist smooth positive closed (p, p)-forms T + n and T âˆ’ n such that T + n âˆ’ T âˆ’ n â†’ T weakly. Moreover, T Â± n â‰¤ câ€¦ (More)