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Award ID contains: 1752345

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  1. ; (, European Journal of Combinatorics)
    Free, publicly-accessible full text available December 1, 2025
  2. ; (, Stochastic Processes and their Applications)
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  3. ; (, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques)
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  4. (, Proceedings of the American Mathematical Society)
    We show that in two dimensional flat torus the number of intersections between random eigenfunctions of general eigenvalues and a given smooth curve is almost exponentially concentrated around its mean, even when the randomness is not gaussian. 
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  5. ; ; (, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques)
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  6. ; (, Inventiones mathematicae)
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  7. ; ; ; (, International Mathematics Research Notices)
    Abstract We give a new proof of a recent resolution [18] by Michelen and Sahasrabudhe of a conjecture of Shepp and Vanderbei [19] that the moduli of roots of Gaussian Kac polynomials of degree $$n$$, centered at $$1$$ and rescaled by $n^2$, should form a Poisson point process. We use this new approach to verify a conjecture from [18] that the Poisson statistics are in fact universal. 
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  8. ; (, Journal of Combinatorics)
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  9. (, Discrete analysis)
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  10. ; ; (, Journal of the London Mathematical Society)