Universality of the minimum modulus for random trigonometric polynomials
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Publication:5028499
DOI10.19086/da.28985zbMath1493.60029arXiv2101.07203OpenAlexW3204230227MaRDI QIDQ5028499
Hoi H. Nguyen, Nicholas A. Cook
Publication date: 10 February 2022
Published in: discrete Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.07203
Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) Large deviations (60F10)
Related Items
The minimum modulus of Gaussian trigonometric polynomials ⋮ The asymptotic distribution of the condition number for random circulant matrices
Cites Work
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- Asymptotic distribution of complex zeros of random analytic functions
- Maximum of the characteristic polynomial of random unitary matrices
- Extremal eigenvalue correlations in the GUE minor process and a law of fractional logarithm
- Local universality for real roots of random trigonometric polynomials
- Random matrices: The distribution of the smallest singular values
- On the extreme values of the Riemann zeta function on random intervals of the critical line
- Roots of random polynomials with coefficients of polynomial growth
- Minimum of the absolute value of random trigonometric polynomials with coefficients \(\pm 1\)
- On the maximum of the C\(\beta\)E field
- Flat Littlewood polynomials exist
- Non universality for the variance of the number of real roots of random trigonometric polynomials
- Extreme local extrema of two-dimensional discrete Gaussian free field
- Some properties of trigonometric series whose terms have random signs
- On the number of real roots of random polynomials
- Normal Approximation and Asymptotic Expansions
- Smooth analysis of the condition number and the least singular value
- Real roots of random polynomials: expectation and repulsion
- RANDOM MATRICES: THE CIRCULAR LAW
- Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers
- Level Sets and Extrema of Random Processes and Fields
- Random invariant measures for Markov chains, and independent particle systems
- Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle
- Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line
- The Complex Zeros of Random Polynomials
- Maximum of the Characteristic Polynomial for a Random Permutation Matrix
- Local Universality of Zeroes of Random Polynomials
- Freiman's theorem for solvable groups
- Random Fields and Geometry
- On Polynomials ∑±nzm,∑eαminzm,z=e0i
- 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