The minimum modulus of Gaussian trigonometric polynomials

@article{Yakir2021TheMM,
  title={The minimum modulus of Gaussian trigonometric polynomials},
  author={Oren Yakir and Ofer Zeitouni},
  journal={Israel Journal of Mathematics},
  year={2021}
}
We prove that the minimum of the modulus of a random trigonometric polynomial with Gaussian coefficients, properly normalized, has limiting exponential distribution. 
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