F. Götze, D. Koliada, D. Zaporozhets, “Correlation functions of real zeros of random polynomials”, Zap. Nauchn. Sem. POMI, 2016, Volume 454,Pages <nobr>102

This article is cited in 5 papers

Correlation functions of real zeros of random polynomials

F. Götze^a, D. Koliada^b, D. Zaporozhets^c

^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

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.

UDC: 519.2

Received: 16.11.2016

Language: English