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This article is cited in 4 scientific papers (total in 4 papers)
What is the Least Expected Number of Real Roots of a Random Polynomial?
D. N. Zaporozhets, A. I. Nazarov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
Let $G_n$ be a random polynomial with coefficients. Denote by $\mathcal{N}(G_n)$ the number of real roots of $G_n$. We find the minimum of $\sup_{n\in{N}}E\mathcal{N}(G_n)$ over different classes of coefficient distributions.
Keywords:
random polynomial, expected number of real roots.
Received: 29.12.2007
Citation:
D. N. Zaporozhets, A. I. Nazarov, “What is the Least Expected Number of Real Roots of a Random Polynomial?”, Teor. Veroyatnost. i Primenen., 53:1 (2008), 40–58; Theory Probab. Appl., 53:1 (2009), 117–133
Linking options:
https://www.mathnet.ru/eng/tvp318https://doi.org/10.4213/tvp318 https://www.mathnet.ru/eng/tvp/v53/i1/p40
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Abstract page: | 699 | Full-text PDF : | 193 | References: | 109 |
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