A survey on zeros of random holomorphic sections

Turgay Bayraktar; Dan Coman; Hendrik Herrmann; George Marinescu

doi:10.14658/pupj-drna-2018-4-1

A survey on zeros of random holomorphic sections

Turgay Bayraktar, Dan Coman, Hendrik Herrmann, George Marinescu

Department of Mathematics

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

6 Scopus citations

Abstract

We survey results on the distribution of zeros of random polynomials and of random holomorphic sections of line bundles, especially for large classes of probability measures on the spaces of holomorphic sections. We provide furthermore some new examples of measures supported in totally real subsets of the complex probability space.

Original language	English (US)
Pages (from-to)	1-19
Number of pages	19
Journal	Dolomites Research Notes on Approximation
Volume	11
Issue number	Special issue dedicated to Norm Levenberg
DOIs	https://doi.org/10.14658/pupj-drna-2018-4-1
State	Published - 2018

ASJC Scopus subject areas

Mathematics (miscellaneous)
Applied Mathematics

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title = "A survey on zeros of random holomorphic sections",

abstract = "We survey results on the distribution of zeros of random polynomials and of random holomorphic sections of line bundles, especially for large classes of probability measures on the spaces of holomorphic sections. We provide furthermore some new examples of measures supported in totally real subsets of the complex probability space.",

author = "Turgay Bayraktar and Dan Coman and Hendrik Herrmann and George Marinescu",

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doi = "10.14658/pupj-drna-2018-4-1",

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volume = "11",

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AU - Bayraktar, Turgay

AU - Coman, Dan

AU - Herrmann, Hendrik

AU - Marinescu, George

PY - 2018

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N2 - We survey results on the distribution of zeros of random polynomials and of random holomorphic sections of line bundles, especially for large classes of probability measures on the spaces of holomorphic sections. We provide furthermore some new examples of measures supported in totally real subsets of the complex probability space.

AB - We survey results on the distribution of zeros of random polynomials and of random holomorphic sections of line bundles, especially for large classes of probability measures on the spaces of holomorphic sections. We provide furthermore some new examples of measures supported in totally real subsets of the complex probability space.

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U2 - 10.14658/pupj-drna-2018-4-1

DO - 10.14658/pupj-drna-2018-4-1

M3 - Article

AN - SCOPUS:85059343164

SN - 2035-6803

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JO - Dolomites Research Notes on Approximation

JF - Dolomites Research Notes on Approximation

IS - Special issue dedicated to Norm Levenberg

ER -

A survey on zeros of random holomorphic sections

Abstract

ASJC Scopus subject areas

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