Expected number of real roots of random trigonometric polynomials

Hendrik Flasche

Type: Article

Publication Date: 2017-04-01

Citations: 22

DOI: https://doi.org/10.1016/j.spa.2017.03.018

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Locations

Stochastic Processes and their Applications - View
arXiv (Cornell University) - View - PDF

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+ PDF Chat	Non universality for the variance of the number of real roots of random trigonometric polynomials	2018	Vlad Bally Lucia Caramellino Guillaume Poly
+	Real Zeroes of Random Analytic Functions Associated with Geometries of Constant Curvature	2018	Hendrik Flasche Zakhar Kabluchko
+ PDF Chat	Variations on Salem–Zygmund results for random trigonometric polynomials: application to almost sure nodal asymptotics	2021	Jürgen Angst Guillaume Poly
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+ PDF Chat	Real zeros of random trigonometric polynomials with pairwise equal blocks of coefficients	2020	Ali Pirhadi

Works Cited by This (18)

Action	Title	Year	Authors
+	Topics in Random Polynomials	1998	K. Farahmand
+	The Number of Real Zeros of a Random Trigonometric Polynomial	1966	Jonathan Dunnage
+	On the Number of Zeros of a Stationary Gaussian Random Trigonometric Polynomial	1970	Clifford Qualls
+	The average number of real zeros of a random trigonometric polynomial	1968	Minaketan Das
+	The distribution of the zeros of random trigonometric polynomials	2011	Andrew Granville Igor Wigman
+	On the Number of Real Roots of a Random Algebraic Equation	1956	Paul Erdős A. C. Offord
+ PDF Chat	On the number of real zeros of a random trigonometric polynomial	1978	M. Sambandham
+	Asymptotics of the variance of the number of real roots of random trigonometric polynomials	2012	Zhonggen Su Qi-Man Shao
+ PDF Chat	CLT for crossings of random trigonometric polynomials	2013	Jean‐Marc Azäis José R. León
+ PDF Chat	On the Average Number of Level Crossings of a Random Trigonometric Polynomial	1990	K. Farahmand