Distribution of roots of random real generalized polynomials

DOI10.1007/BF02199115zbMath0952.60506arXivchao-dyn/9606012OpenAlexW2085581775MaRDI QIDQ1285287

G. Andrei Mezincescu, Jean-Daniel Fournier, Giorgio Mantica, Francise D. Aaron, Daniel Bessis

Publication date: 18 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9606012

zbMATH Keywords

random polynomialsdensity of rootsuniversal asymptotic behavior

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic processes (60G99) Real polynomials: location of zeros (26C10)

Related Items (5)

Salem-Zygmund inequality for locally sub-Gaussian random variables, random trigonometric polynomials, and random circulant matrices ⋮ Noise in the complex plane: Open problems ⋮ Explicit formulas for the distribution of complex zeros of a family of random sums ⋮ Correlation between zeros of a random polynomial ⋮ Padé approximants and noise: Rational functions

Cites Work

• Unnamed Item
• Unnamed Item
• Applications of Szegö polynomials to digital signal processing
• Szegö polynomials associated with Wiener-Levinson filters
• Asymptotic zero distribution of orthogonal polynomials in sinusoidal frequency estimation
• How many zeros of a random polynomial are real?
• On roots of random polynomials
• On the Roots of Certain Algebraic Equations
• Distribution of roots of random polynomials
• The Complex Zeros of Random Polynomials
• On the Number of Real Roots of a Random Algebraic Equation
• Note on the Distribution of Roots of a Polynomial with Random Complex Coefficients

This page was built for publication: Distribution of roots of random real generalized polynomials