Expected number of real zeros for random linear combinations of orthogonal polynomials
From MaRDI portal
Publication:2790270
DOI10.1090/proc/12836zbMath1337.30008arXiv1503.06376OpenAlexW1783896017MaRDI QIDQ2790270
Xiaoju Xie, Igor E. Pritsker, Doron S. Lubinsky
Publication date: 3 March 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.06376
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Convergence of probability measures (60B10) Random power series in one complex variable (30B20)
Related Items (19)
Real zeros of random cosine polynomials with palindromic blocks of coefficients ⋮ An update on local universality limits for correlation functions generated by unitary ensembles ⋮ Salem-Zygmund inequality for locally sub-Gaussian random variables, random trigonometric polynomials, and random circulant matrices ⋮ Random orthonormal polynomials: Local universality and expected number of real roots ⋮ Real zeros of random trigonometric polynomials with $\ell$-periodic coefficients ⋮ Expected number of real zeros for random orthogonal polynomials ⋮ The density of complex zeros of random sums ⋮ Real zeros of random trigonometric polynomials with pairwise equal blocks of coefficients ⋮ Real zeros of random sums with i.i.d. coefficients ⋮ An asymptotic expansion for the expected number of real zeros of Kac-Geronimus polynomials ⋮ Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights ⋮ Zeros of random orthogonal polynomials with complex Gaussian coefficients ⋮ Variance of real zeros of random orthogonal polynomials ⋮ The lemniscate tree of a random polynomial ⋮ An asymptotic expansion for the expected number of real zeros of real random polynomials spanned by OPUC ⋮ Real zeroes of random analytic functions associated with geometries of constant curvature ⋮ Average number of real zeros of random algebraic polynomials defined by the increments of fractional Brownian motion ⋮ Zeros of real random polynomials spanned by OPUC ⋮ Variance of real zeros of random orthogonal polynomials for varying and exponential weights
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bulk universality holds in measure for compactly supported measures
- A new approach to universality limits involving orthogonal polynomials
- Real roots of random harmonic equations
- Asymptotics for Christoffel functions for general measures on the real line
- Zero distribution of random polynomials
- Asymptotics of Christoffel functions on arcs and curves
- A class of orthogonal polynomials
- On the Number of Real Roots of a Random Algebraic Equation
- An Asymptotic Expansion for the Expected Number of Real Zeros of a Random Polynomial
- How many zeros of a random polynomial are real?
- The expected value of the number of real zeros of a random sum of Legendre polynomials
- On the Expected Number of Real Zeros of Random Polynomials I. Coefficients with Zero Means
- On the Roots of Certain Algebraic Equations
- Probability: A Graduate Course
- LEVEL CROSSINGS OF A RANDOM ORTHOGONAL POLYNOMIAL
- The average number of real zeros of a random polynomial
- Real Zeros of Random Polynomials. II
- Real Zeros of a Random Sum of Orthogonal 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
- On random orthogonal polynomials
This page was built for publication: Expected number of real zeros for random linear combinations of orthogonal polynomials
