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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 454, Pages 102–111 (Mi znsl6386)  
This article is cited in 5 scientific papers (total in 5 papers)

Correlation functions of real zeros of random polynomials

F. Götzea, D. Koliadab, D. Zaporozhetsc

a Faculty of Mathematics, Bielefeld University, P.O. Box 10 01 31, 33501 Bielefeld, Germany
b Institute of Mathematics, National Academy of Sciences of Belarus, 220072 Minsk, Belarus
c St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
Full-text PDF (178 kB) Citations (5)
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Abstract: We give an explicit formula for the correlation functions of real zeros of a random polynomial with arbitrary independent continuously distributed coefficients.
Key words and phrases: random polynomial, correlation between zeros, joint intensities, Coarea formula.
Funding agency Grant number
Bielefeld University SFB 701
Russian Foundation for Basic Research 16-01-00367
Russian Academy of Sciences - Federal Agency for Scientific Organizations
The work was done with the financial support of the Bielefeld University (Germany) in terms of project SFB 701. The work of the third author is supported by the grant RFBR 16-01-00367 and by the Program of Fundamental Researches of Russian Academy of Sciences “Modern Problems of Fundamental Mathematics”.
Received: 16.11.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 6, Pages 664–670
DOI: https://doi.org/10.1007/s10958-018-3705-4
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: English
Citation: F. Götze, D. Koliada, D. Zaporozhets, “Correlation functions of real zeros of random polynomials”, Probability and statistics. Part 24, Zap. Nauchn. Sem. POMI, 454, POMI, St. Petersburg, 2016, 102–111; J. Math. Sci. (N. Y.), 229:6 (2018), 664–670
Citation in format AMSBIB
\Bibitem{GotKolZap16}
\by F.~G\"otze, D.~Koliada, D.~Zaporozhets
\paper Correlation functions of real zeros of random polynomials
\inbook Probability and statistics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 454
\pages 102--111
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6386}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3602403}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 6
\pages 664--670
\crossref{https://doi.org/10.1007/s10958-018-3705-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042236225}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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