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Teoriya Veroyatnostei i ee Primeneniya, 2008, Volume 53, Issue 1, Pages 40–58
DOI: https://doi.org/10.4213/tvp318 (Mi tvp318) 		 
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
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DOI: https://doi.org/10.4213/tvp318
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
English version:
Theory of Probability and its Applications, 2009, Volume 53, Issue 1, Pages 117–133
DOI: https://doi.org/10.1137/S0040585X97983389
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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