This book examines holomorphic Morse inequalities and the asymptotic expansion of the
Bergman kernel on manifolds by using the heat kernel. It opens perspectives on several …

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 …

The polarization of Λ baryons from Z decays is studied with the Aleph apparatus. Evidence
of longitudinal polarization of s quarks from Z decay is observed for the first time. The …

Let T be a positive closed (p, p)-current on a compact Kähler manifold X. We prove the
existence of smooth positive closed (p, p)-forms Tn+ and Tn− such that Tn+− Tn−→ T …

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 …

This report discusses recent results as well as new perspectives in the ergodic theory for
Riemann surface laminations, with an emphasis on singular holomorphic foliations by …

Let $\{f_\lambda\} $ be a family of rational maps of a fixed degree, with a marked critical
point $ c (\lambda) $. Under a natural assumption, we first prove that the hypersurfaces of …

For a regular compact set $ K $ in $ C^ m $ and a measure $\mu $ on $ K $ satisfying the
Bernstein-Markov inequality, we consider the ensemble $ P_N $ of polynomials of degree …

Let (X, ω) be a compact Kähler manifold. We obtain uniform Hölder regularity for solutions to
the complex Monge–Ampère equation on X with Lp right hand side, p> 1. The same …

Let $ f $ be a holomorphic automorphism of a compact Kähler manifold $(X,\omega) $ of
dimension $ k\geq 2$. We study the convex cones of positive closed $(p, p) $-currents $ T_p …