Central Limit Theorem for the number of real roots of random orthogonal polynomials-Reference-Cited by-同舟云学术

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Central Limit Theorem for the number of real roots of random orthogonal polynomials

Published:2024-08-01 Issue:3 Volume:60 Page:
ISSN:0246-0203
Container-title:Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
language:
Short-container-title:Ann. Inst. H. Poincaré Probab. Statist.

Author:

Do Yen¹,Nguyen Hoi²,Nguyen Oanh³,Pritsker Igor E.⁴

Affiliation:

1. Department of Mathematics, The University of Virginia,141 Cabell Drive, Charlottesville, VA 22904, USA

2. Department of Mathematics, The Ohio State University, 231 W 18th Ave, Columbus, OH 43210 USA

3. Division of Applied Mathematics, Brown University, Providence, RI 02906, USA

4. Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, USA

Publisher

Institute of Mathematical Statistics

Reference36 articles.

1. A. Granville and I. Wigman. The distribution of the zeros of random trigonometric polynomials. Amer. J. Math. 133 (2) (2011) 295–357.

2. F. Nazarov and M. Sodin. Correlation functions for random complex zeroes: Strong clustering and local universality. Comm. Math. Phys. 310 (1) (2012) 75–98.

3. M. Ancona and T. Letendre. Roots of Kostlan polynomials: Moments, strong Law of Large Numbers and Central Limit Theorem. Available at arXiv:1911.12182.

4. D. Armentano, J. Azaïs, F. Dalmao and J. R. Leon. Central Limit Theorem for the number of real roots of Kostlan Shub Smale random polynomial systems. Amer. J. Math. 143 (4) (2021) 1011–1042.

5. J. Azaïs, F. Dalmao and J. León. CLT for the zeros of classical random trigonometric polynomials. Ann. Inst. Henri Poincaré Probab. Stat. 52 (2) (2016) 804–820.

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