Robert J. Berman

Bergman kernels and equilibrium measures for line bundles over projective manifolds

Let

Regularity of Plurisubharmonic Upper Envelopes in Big Cohomology Classes

L

Kahler-Einstein Metrics on Stable Varieties and log Canonical Pairs

be a holomorphic line bundle over a compact complex projective Hermitian manifold

Convexity of the extended K-energy and the large time behavior of the weak Calabi flow

X.

Kähler-Einstein metrics emerging from free fermions and statistical mechanics

Any fixed smooth hermitian metric

Super toeplitz operators on line bundles

\phi

On the optimal regularity of weak geodesics in the space of metrics on a polarized manifold

on

Large Deviations for Gibbs Measures with Singular Hamiltonians and Emergence of Kahler-Einstein Metrics

L

Bergman kernels and equilibrium measures for polarized pseudoconcave domains

induces a Hilbert space structure on the space of global holomorphic sections with values in the

SAMPLING OF REAL MULTIVARIATE POLYNOMIALS AND PLURIPOTENTIAL THEORY

k