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ЖУРНАЛЫ // Записки научных семинаров ПОМИ

Зап. научн. сем. ПОМИ, 2016, том 454, страницы 102–111 (Mi znsl6386)

Correlation functions of real zeros of random polynomials
F. Götze, D. Koliada, D. Zaporozhets

Литература

1. P. Bleher, X. Di, “Correlations between zeros of a random polynomial”, J. Statist. Phys., 88:1–2 (1997), 269–305  crossref  mathscinet  zmath
2. P. Bleher, X. Di, “Correlations between zeros of non-Gaussian random polynomials”, Int. Math. Res. Not., 46 (2004), 2443–2484  crossref  mathscinet  zmath
3. H. Federer, Geometric measure theory, Springer, 1969  mathscinet  zmath
4. F. Götze, D. Kaliada, D. Zaporozhets, “Distribution of complex algebraic numbers”, Proc. Amer. Math. Soc., 145 (2017), 61–67  crossref  mathscinet  elib
5. F. Götze, D. Zaporozhets, Discriminant and root separation of integral polynomials, Preprint, 2014, arXiv: 1407.6388  mathscinet
6. J. B. Hough, M. Krishnapur, Y. Peres, B. Virág, Zeros of Gaussian analytic functions and determinantal point processes, University Lecture Series, 51, AMS, 2009  crossref  mathscinet  zmath
7. D. Kaliada, On the density function of the distribution of real algebraic numbers, Preprint, 2014, arXiv: 1405.1627
8. D. Kaliada, “On the frequency of integer polynomials with a given number of close roots”, Tr. Inst. Mat. (Minsk), 20:2 (2012), 51–63 (In Russian)  mathnet
9. I. Macdonald, Symmetric Functions and Hall Folynomials, Oxford mathematical monographs, 2nd edition, Oxford University Press, 1998  mathscinet
10. D. Zaporozhets, “On distribution of the number of real zeros of a random polynomial”, Zap. Nauchn. Semin. POMI, 320, 2004, 69–79  mathnet  mathscinet  zmath
11. D. Zaporozhets, “Random polynomials and geometric probability”, Dokl. Akad. Nauk, 71:1 (2005), 53–57  mathscinet


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