Fluctuations in Salem–Zygmund almost sure Central Limit Theorem
Author:
Affiliation:
1. Univ Rennes, CNRS, IRMAR – UMR 6625, F-35000 Rennes, France , .
2. Univ Rennes, CNRS, IRMAR – UMR 6625, F-35000 Rennes, France.
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference26 articles.
1. Nina B Maslova. On the variance of the number of real roots of random polynomials. Theory of Probability & Its Applications, 19(1):35–52, 1974.
2. Jürgen Angst and Guillaume Poly. On the absolute continuity of random nodal volumes. Ann. Probab., 48(5):2145–2175, 2020.
3. Jürgen Angst and Guillaume Poly. Variations on Salem-Zygmund results for random trigonometric polynomials: application to almost sure nodal asymptotics. Electronic Journal of Probability, 26(none):1–36, 2021.
4. Jürgen Angst and Guillaume Poly. CLT for the number of real zeros of random trigonometric polynomials. In preparation, 2023.
5. Jürgen Angst, Viet-Hung Pham, and Guillaume Poly. Universality of the nodal length of bivariate random trigonometric polynomials. Trans. Amer. Math. Soc., 370(12):8331–8357, 2018.
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