Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights

DOI10.1007/s11118-017-9643-9zbMath1391.30011arXiv1611.04695OpenAlexW2705674073MaRDI QIDQ1751075

Publication date: 23 May 2018

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04695

zbMATH Keywords

random orthogonal polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Stochastic processes (60G99) Other special orthogonal polynomials and functions (33C47)

Related Items (3)

Variance of the volume of random real algebraic submanifolds II ⋮ Joint distribution of conjugate algebraic numbers: a random polynomial approach ⋮ On global universality for zeros of random polynomials

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Asymptotic distribution of complex zeros of random analytic functions
On the $\bar {\partial{}}$ equation in weighted $L^ 2$ norms in $\mathbb{C} ^ 1$
Pointwise estimates for the weighted Bergman projection kernel in ${\mathbb C}^n$, using a weighted $L^2$ estimate for the $\bar\partial$ equation
Random polynomials and pluripotential-theoretic extremal functions
Expected number of real zeros for random Freud orthogonal polynomials
Random complex zeroes. III: Decay of the hole probability
On the distribution of zeros and a-values of a random integral function. II
On the distribution of roots of polynomials
Expected number of real zeros for random linear combinations of orthogonal polynomials
Asymptotic normality of linear statistics of zeros of random polynomials
On the Number of Real Roots of a Random Algebraic Equation
Bergman kernels for weighted polynomials and weighted equilibrium measures of $\mathbb{C}^{n}$
Overcrowding and hole probabilities for random zeros on complex manifolds
How many zeros of a random polynomial are real?
On the Expected Number of Real Zeros of Random Polynomials I. Coefficients with Zero Means
On the Expected Number of Real Zeros of Random Polynomials. II. Coefficients With Non-Zero Means
Local Universality of Zeroes of Random Polynomials
On the concentration function of a sum of independent random variables
Real Zeros of a Random Sum of Orthogonal Polynomials
On the Distribution of the Zeros and α-Values of a Random Integral Function (I)
On the average number of real roots of a random algebraic equation
Sampling in weighted $L^p$ spaces of entire functions in $\mathbb{C}^n$ and estimates of the Bergman kernel

This page was built for publication: Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights