Asymptotic distribution of complex zeros of random analytic functions

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Asymptotic distribution of complex zeros of random analytic functions. / Kabluchko, Zakhar; Zaporozhets, Dmitry.

In: Annals of Probability, Vol. 42, No. 4, 01.01.2014, p. 1374-1395.

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

Author

Kabluchko, Zakhar ; Zaporozhets, Dmitry. / Asymptotic distribution of complex zeros of random analytic functions. In: Annals of Probability. 2014 ; Vol. 42, No. 4. pp. 1374-1395.

BibTeX

@article{cf0245e56e0d45e48ede1aa2c6210d22,

title = "Asymptotic distribution of complex zeros of random analytic functions",

keywords = "Circular law, Empirical distribution of zeros, Equilibrium measure, Legendre-Fenchel transform, Logarithmic potential, Random analytic function, Random polynomial, Random power series",

author = "Zakhar Kabluchko and Dmitry Zaporozhets",

year = "2014",

month = jan,

day = "1",

doi = "10.1214/13-AOP847",

language = "English",

volume = "42",

pages = "1374--1395",

journal = "Annals of Probability",

issn = "0091-1798",

publisher = "Institute of Mathematical Statistics",

number = "4",

}

RIS

TY - JOUR

T1 - Asymptotic distribution of complex zeros of random analytic functions

AU - Kabluchko, Zakhar

AU - Zaporozhets, Dmitry

PY - 2014/1/1

Y1 - 2014/1/1

KW - Circular law

KW - Empirical distribution of zeros

KW - Equilibrium measure

KW - Legendre-Fenchel transform

KW - Logarithmic potential

KW - Random analytic function

KW - Random polynomial

KW - Random power series

UR - http://www.scopus.com/inward/record.url?scp=84903900129&partnerID=8YFLogxK

U2 - 10.1214/13-AOP847

DO - 10.1214/13-AOP847

M3 - Article

AN - SCOPUS:84903900129

VL - 42

SP - 1374

EP - 1395

JO - Annals of Probability

JF - Annals of Probability

SN - 0091-1798

IS - 4

ER -

ID: 126287270