Kulikov, Aleksei; Nazarov, Fedor; Sodin, Mikhail Fourier uniqueness and non-uniqueness pairs. arXiv:2306.14013 Preprint, arXiv:2306.14013 [math.CA] (2023). BibTeX Cite \textit{A. Kulikov} et al., ``Fourier uniqueness and non-uniqueness pairs'', Preprint, arXiv:2306.14013 [math.CA] (2023) Full Text: arXiv OA License
Nazarov, Fedor; Sodin, Mikhail Fluctuations in the number of nodal domains. (English) Zbl 1455.60060 J. Math. Phys. 61, No. 12, 123302, 39 p. (2020). MSC: 60G15 05C10 PDFBibTeX XMLCite \textit{F. Nazarov} and \textit{M. Sodin}, J. Math. Phys. 61, No. 12, 123302, 39 p. (2020; Zbl 1455.60060) Full Text: DOI arXiv
Nazarov, F.; Sodin, M. Asymptotic laws for the spatial distribution and the number of connected components of zero sets of Gaussian random functions. (English) Zbl 1358.60057 J. Math. Phys. Anal. Geom. 12, No. 3, 205-278 (2016). MSC: 60G15 PDFBibTeX XMLCite \textit{F. Nazarov} and \textit{M. Sodin}, J. Math. Phys. Anal. Geom. 12, No. 3, 205--278 (2016; Zbl 1358.60057) Full Text: DOI arXiv
Nazarov, Fedor; Nishry, Alon; Sodin, Mikhail Distribution of zeroes of Rademacher Taylor series. (English. French summary) Zbl 1352.30001 Ann. Fac. Sci. Toulouse, Math. (6) 25, No. 4, 759-784 (2016). MSC: 30B20 30D20 30C15 PDFBibTeX XMLCite \textit{F. Nazarov} et al., Ann. Fac. Sci. Toulouse, Math. (6) 25, No. 4, 759--784 (2016; Zbl 1352.30001) Full Text: DOI arXiv
Nazarov, F.; Nishry, A.; Sodin, M. Log-integrability of Rademacher Fourier series, with applications to random analytic functions. (English) Zbl 1304.42014 St. Petersbg. Math. J. 25, No. 3, 467-494 (2014) and Algebra Anal. 25, No. 3, 147-184 (2013). MSC: 42A61 PDFBibTeX XMLCite \textit{F. Nazarov} et al., St. Petersbg. Math. J. 25, No. 3, 467--494 (2014; Zbl 1304.42014) Full Text: DOI arXiv
Nazarov, F.; Sodin, M. Correlation functions for random complex zeroes: Strong clustering and local universality. (English) Zbl 1238.60059 Commun. Math. Phys. 310, No. 1, 75-98 (2012). MSC: 60G99 30B20 PDFBibTeX XMLCite \textit{F. Nazarov} and \textit{M. Sodin}, Commun. Math. Phys. 310, No. 1, 75--98 (2012; Zbl 1238.60059) Full Text: DOI arXiv
Nazarov, F.; Sodin, M. Fluctuations in random complex zeroes: asymptotic normality revisited. (English) Zbl 1242.60051 Int. Math. Res. Not. 2011, No. 24, 5720-5759 (2011). MSC: 60G99 60F05 30B20 PDFBibTeX XMLCite \textit{F. Nazarov} and \textit{M. Sodin}, Int. Math. Res. Not. 2011, No. 24, 5720--5759 (2011; Zbl 1242.60051) Full Text: DOI arXiv
Nazarov, Fedor; Sodin, Mikhail Random complex zeroes and random nodal lines. (English) Zbl 1296.30005 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1450-1484 (2011). MSC: 30B20 33C55 60G55 PDFBibTeX XMLCite \textit{F. Nazarov} and \textit{M. Sodin}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 1450--1484 (2011; Zbl 1296.30005) Full Text: arXiv Link
Nazarov, Fedor; Sodin, Mikhail What is …a Gaussian entire function? (English) Zbl 1198.30004 Notices Am. Math. Soc. 57, No. 3, 375-377 (2010). Reviewer: Marek Jarnicki (Kraków) MSC: 30B20 PDFBibTeX XMLCite \textit{F. Nazarov} and \textit{M. Sodin}, Notices Am. Math. Soc. 57, No. 3, 375--377 (2010; Zbl 1198.30004)
Nazarov, Fedor; Sodin, Mikhail On the number of nodal domains of random spherical harmonics. (English) Zbl 1186.60022 Am. J. Math. 131, No. 5, 1337-1357 (2009). Reviewer: Roman Urban (Wrocław) MSC: 60F10 33C55 43A90 PDFBibTeX XMLCite \textit{F. Nazarov} and \textit{M. Sodin}, Am. J. Math. 131, No. 5, 1337--1357 (2009; Zbl 1186.60022) Full Text: DOI arXiv Link
Nazarov, F.; Sodin, M.; Volberg, A. The Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroes. (English) Zbl 1221.30008 Commun. Math. Phys. 284, No. 3, 833-865 (2008). MSC: 30B20 60E99 60G15 82B31 PDFBibTeX XMLCite \textit{F. Nazarov} et al., Commun. Math. Phys. 284, No. 3, 833--865 (2008; Zbl 1221.30008) Full Text: DOI arXiv
Nazarov, Fedor; Sodin, Mikhail; Volberg, Alexander Transportation to random zeroes by the gradient flow. (English) Zbl 1153.60027 Geom. Funct. Anal. 17, No. 3, 887-935 (2007). Reviewer: B. P. Harlamov (St. Peterburg) MSC: 60G55 30C15 30D15 60G15 PDFBibTeX XMLCite \textit{F. Nazarov} et al., Geom. Funct. Anal. 17, No. 3, 887--935 (2007; Zbl 1153.60027) Full Text: DOI arXiv
Nazarov, Fëdor; Polterovich, Leonid; Sodin, Mikhail Sign and area in nodal geometry of Laplace eigenfunctions. (English) Zbl 1079.58026 Am. J. Math. 127, No. 4, 879-910 (2005). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 PDFBibTeX XMLCite \textit{F. Nazarov} et al., Am. J. Math. 127, No. 4, 879--910 (2005; Zbl 1079.58026) Full Text: DOI arXiv
Nazarov, Fedor; Sodin, Mikhail Coarse equidistribution of the argument of entire functions of finite order. (English) Zbl 1076.30031 Mat. Fiz. Anal. Geom. 11, No. 4, 492-506 (2004). Reviewer: Marek Jarnicki (Kraków) MSC: 30D20 PDFBibTeX XMLCite \textit{F. Nazarov} and \textit{M. Sodin}, Mat. Fiz. Anal. Geom. 11, No. 4, 492--506 (2004; Zbl 1076.30031) Full Text: arXiv
Nazarov, F.; Sodin, M.; Volberg, A. Lower bounds for quasianalytic functions. I: How to control smooth functions. (English) Zbl 1064.30032 Math. Scand. 95, No. 1, 59-79 (2004). Reviewer: Wiesław Pleśniak (Kraków) MSC: 30D60 PDFBibTeX XMLCite \textit{F. Nazarov} et al., Math. Scand. 95, No. 1, 59--79 (2004; Zbl 1064.30032) Full Text: DOI arXiv
Borichev, A.; Nazarov, F.; Sodin, M. Lower bounds for quasianalytic functions. II: The Bernstein quasianalytic functions. (English) Zbl 1064.30033 Math. Scand. 95, No. 1, 44-58 (2004). Reviewer: Wiesław Pleśniak (Kraków) MSC: 30D60 PDFBibTeX XMLCite \textit{A. Borichev} et al., Math. Scand. 95, No. 1, 44--58 (2004; Zbl 1064.30033) Full Text: DOI arXiv
Nazarov, F.; Sodin, M.; Vol’berg, A. The geometric Kannan-Lovász-Simonovits lemma, dimension-free estimates for the distribution of the values of polynomials, and the distribution of the zeros of random analytic functions. (English. Russian original) Zbl 1030.60040 St. Petersbg. Math. J. 14, No. 2, 351-366 (2003); translation from Algebra Anal. 14, No. 2, 214-234 (2002). MSC: 60G99 30C15 PDFBibTeX XMLCite \textit{F. Nazarov} et al., St. Petersbg. Math. J. 14, No. 2, 214--234 (2003; Zbl 1030.60040); translation from Algebra Anal. 14, No. 2, 214--234 (2002)
Nazarov, F.; Sodin, M.; Volberg, A. Local dimension-free estimates for volumes of sublevel sets of analytic functions. (English) Zbl 1031.32008 Isr. J. Math. 133, 269-283 (2003). Reviewer: Arun Kumar Agarwal (Grambling) MSC: 32D15 PDFBibTeX XMLCite \textit{F. Nazarov} et al., Isr. J. Math. 133, 269--283 (2003; Zbl 1031.32008) Full Text: DOI arXiv
Nazarov, F.; Sodin, M.; Volberg, A. The geometric Kannan-Lovasz-Simonovits lemma, dimension-free estimates for volumes of sublevel sets of polynomials, and distribution of zeroes of random analytic functions. arXiv:math/0108212 Preprint, arXiv:math/0108212 [math.CA] (2001). BibTeX Cite \textit{F. Nazarov} et al., ``The geometric Kannan-Lovasz-Simonovits lemma, dimension-free estimates for volumes of sublevel sets of polynomials, and distribution of zeroes of random analytic functions'', Preprint, arXiv:math/0108212 [math.CA] (2001) Full Text: arXiv