Random trigonometric polynomials: Universality and non-universality of the variance for the number of real roots-Reference-Cited by-同舟云学术

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Random trigonometric polynomials: Universality and non-universality of the variance for the number of real roots

Published:2022-08-01 Issue:3 Volume:58 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 Hoi H.²,Nguyen Oanh³

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. Department of Mathematics, Princeton University, 304 Washington Road, Princeton, NJ 08540, USA

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference47 articles.

1. R. J. Adler and J. E. Taylor. Random Fields and Geometry. Springer Monographs in Mathematics, 2007.

2. J. Angst and G. Poly. A weak Cramér condition and application to Edgeworth expansions. Electron. J. Probab. 22 (2017) paper no. 59, 24 pp.

3. K. Astala, P. Jones, A. Kupiainen and E. Saksman. Random conformal weldings. Acta Math. 207 (2011) 203–254.

4. J. M. Azais and J. Leon. CLT for crossings of random trigonometric polynomials. Electron. J. Probab. 18 (68) (2013) 1–17.

5. J. M. Azaïs and M. Wschebor. Level Sets and Extrema of Random Processes and Fields. Wiley, Hoboken, NJ, 2009.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Exponential concentration for the number of roots of random trigonometric polynomials;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2024-05-01

2. The number of real zeros of elliptic polynomials;Electronic Journal of Probability;2024-01-01

3. Fluctuations in Salem–Zygmund almost sure Central Limit Theorem;Electronic Journal of Probability;2023-01-01

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