Random Riesz energies on compact Kähler manifolds

Renjie Feng; Steve Zelditch

doi:10.1090/S0002-9947-2013-05870-9

Random Riesz energies on compact Kähler manifolds

Renjie Feng, Steve Zelditch

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The expected Riesz energies of the zero sets of systems of independent Gaussian random polynomials of degree N are determined asymptotically as the degree N → ∞ in all dimensions and codimensions. The asymptotics are proved for sections of any positive line bundle over any compact Kähler manifold.

Original language	English (US)
Pages (from-to)	5579-5604
Number of pages	26
Journal	Transactions of the American Mathematical Society
Volume	365
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9947-2013-05870-9
State	Published - 2013

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "Random Riesz energies on compact K{\"a}hler manifolds",

abstract = "The expected Riesz energies of the zero sets of systems of independent Gaussian random polynomials of degree N are determined asymptotically as the degree N → ∞ in all dimensions and codimensions. The asymptotics are proved for sections of any positive line bundle over any compact K{\"a}hler manifold.",

author = "Renjie Feng and Steve Zelditch",

year = "2013",

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AU - Feng, Renjie

AU - Zelditch, Steve

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AB - The expected Riesz energies of the zero sets of systems of independent Gaussian random polynomials of degree N are determined asymptotically as the degree N → ∞ in all dimensions and codimensions. The asymptotics are proved for sections of any positive line bundle over any compact Kähler manifold.

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Random Riesz energies on compact Kähler manifolds

Abstract

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