Random Riesz energies on compact Kähler manifolds

DOI10.1090/S0002-9947-2013-05870-9zbMath1295.32013arXiv1112.3993MaRDI QIDQ2847205

Renjie Feng, Steven Zelditch

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3993

zbMATH Keywords

Bergman kernelclosed Kähler manifoldinteraction energyrandom sectionsRiesz energypositive holomophic line bundles

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Zero sets of holomorphic functions of several complex variables (32A60)

Related Items (3)

Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres ⋮ Riesz and Green energy on projective spaces ⋮ Distributing many points on spheres: minimal energy and designs

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