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 …

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 …

We prove exponential estimates for plurisubharmonic functions with respect to Monge-
Ampère measures with Hölder continuous potential. As an application, we obtain several …

We study the dynamics of a bimeromorphic map X→ X, where X is a compact complex
Kähler surface. Under a natural geometric hypothesis, we construct an invariant probability …

arXiv:math/0501449v2 [math.CV] 14 Apr 2005 Page 1 arXiv:math/0501449v2 [math.CV] 14
Apr 2005 THE MIXED HODGE–RIEMANN BILINEAR RELATIONS FOR COMPACT KAHLER …

Riemann Surface Laminations with Singularities Page 1 J Geom Anal (2008) 18: 400–442 DOI
10.1007/s12220-008-9018-y Riemann Surface Laminations with Singularities John Erik …

Let X be a singular Hermitian complex space of pure dimension n. We use a resolution of
singularities to give a smooth representation of the L 2-∂¯-cohomology of (n, q)-forms on X …

We study the dynamics of possibly singular foliations by Riemann surfaces. The main
examples are holomorphic foliations by Riemann surfaces in projective varieties. We …

We present the theory of twisted L^ 2 L 2 estimates for the Cauchy–Riemann operator and
give a number of recent applications of these estimates. Among the applications: extension …

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