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• W3124711093 abstract "It has been shown in a recent work by Yakir-Zeitouni that the minimum modulus of random trigonometric polynomials with Gaussian coefficients has a limiting exponential distribution. We show this is a universal phenomenon. Our approach relates the joint distribution of small values of the polynomial at a fixed number $m$ of points on the circle to the distribution of a certain random walk in a $4m$-dimensional phase space. Under Diophantine approximation conditions on the angles, we obtain strong small ball estimates and a local central limit theorem for the distribution of the walk." @default.
• W3124711093 created "2021-02-01" @default.
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• W3124711093 date "2021-01-18" @default.
• W3124711093 modified "2023-09-27" @default.
• W3124711093 title "Universality of the minimum modulus for random trigonometric polynomials" @default.
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