Correlation between zeros of a random polynomial

DOI10.1007/BF02508472zbMath0939.60047arXivmath-ph/0201012MaRDI QIDQ1285228

Xiaojun Di, Pavel M. Bleher

Publication date: 26 April 1999

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

Full work available at URL: https://arxiv.org/abs/math-ph/0201012

zbMATH Keywords

scaling limitdeterminants of block matricescorrelations between zerosKac random polynomial

Mathematics Subject Classification ID

Special processes (60K99) Stochastic processes (60G99) Real polynomials: location of zeros (26C10)

Related Items (15)

Equidistribution of zeros of random holomorphic sections for moderate measures ⋮ Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles ⋮ Random trigonometric polynomials: universality and non-universality of the variance for the number of real roots ⋮ Real zeros of random algebraic polynomials with binomial elements ⋮ The variance of the number of zeros for complex random polynomials spanned by OPUC ⋮ A universality property of Gaussian analytic functions ⋮ Central limit theorems for the real eigenvalues of large Gaussian random matrices ⋮ Real roots of random polynomials and zero crossing properties of diffusion equation ⋮ Correlation functions of real zeros of random polynomials ⋮ Variance of real zeros of random orthogonal polynomials ⋮ Equidistribution of zeros of holomorphic sections in the non-compact setting ⋮ Joint distribution of conjugate algebraic numbers: a random polynomial approach ⋮ On the expected number of zeros of a random harmonic polynomial ⋮ Zeros of smooth stationary Gaussian processes ⋮ Roots of random functions: A framework for local universality

Cites Work

• Unnamed Item
• Unnamed Item
• Distribution of roots of random real generalized polynomials
• Correlations between eigenvalues of a random matrix
• On the distribution of roots of polynomials
• On the Number of Real Roots of a Random Algebraic Equation
• Chaotic analytic zero points: exact statistics for those of a random spin state
• How many zeros of a random polynomial are real?
• On the Roots of Certain Algebraic Equations
• Atomi orientati in campo magnetico variabile
• Distribution of roots of random polynomials
• Real Zeros of Random Polynomials
• On the Number of Real Roots of a Random Algebraic Equation
• On the Average Number of Real Roots of a Random Algebraic Equation (II)
• On the average number of real roots of a random algebraic equation

This page was built for publication: Correlation between zeros of a random polynomial