24 citations · 38 across the 4 of their papers we have counts for
4 papers · 1 filter
A variational approach to complex Monge-Ampere equations
R. J. Berman, S. Boucksom, V. Guedj +1
We show that degenerate complex Monge-Ampere equations in a big cohomology class of a compact Kaehler manifold can be solved using a variational method independent of Yau's theorem…
Fekete points and convergence towards equilibrium measures on complex manifolds
Robert J. Berman, Sebastien Boucksom, David Witt Nystrom
Building on the first two authors' previous results, we prove a general criterion for convergence of (possibly singular) Bergman measures towards equilibrium measures on complex ma…
Sharp inequalities for determinants of Toeplitz operators and dbar-Laplacians on line bundles
Robert J. Berman
We prove sharp inequalities for determinants of Toeplitz operators and twisted Laplace operators on the two-sphere, generalizing the Moser-Trudinger-Onofri inequality. In particula…
Regularity of plurisubharmonic upper envelopes in big cohomology classes
Robert Berman, Jean-Pierre Demailly
The goal of this work is to prove the regularity of certain quasi-plurisubharmonic upper envelopes. Such envelopes appear in a natural way in the construction of hermitian metrics…