211 citations · 1.3k across the 126 of their papers we have counts for
22 papers · 1 filter
Stochastic Kähler geometry: from random zeros to random metrics
Bernard Shiffman, Steve Zelditch
We provide a survey of results on the statistics of random sections of holomorphic line bundles on Kähler manifolds, with an emphasis on the resulting asymptotics when a line bundl…
Entropy of Bergman measures of a toric Kaehler manifold
Pierre Flurin, Steve Zelditch
Associated to the Bergman kernels of a polarized toric Kaehler manifold are sequences of measures parametrized by the points . We…
Pointwise Weyl laws for Partial Bergman kernels
Steve Zelditch, Peng Zhou
This is a partly expository article for the volume "Algebraic and Analytic Microlocal Analysis" on pointwise Weyl laws for spectral projections kernels in the Kaehler setting. We p…
Interface asymptotics of Partial Bergman kernels around a critical level
Steve Zelditch, Peng Zhou
In a recent series of articles (arXiv:1604.06655, arXiv:1708.09267), the authors have studied the transition behavior of partial Bergman kernels and the as…
Central Limit theorem for spectral Partial Bergman kernels
Steve Zelditch, Peng Zhou
Partial Bergman kernels are kernels of orthogonal projections onto subspaces of holomorphic sections of the th power of an ample lin…
Off-diagonal decay of toric Bergman kernels
Steve Zelditch
We study the off-diagonal decay of Bergman kernels and Berezin kernels for ample invariant line bundles over compact toric projective \kahler manifold…