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math.PR2026
Fourier decay of Gaussian multiplicative chaos and boundary geometry
Marcu-Antone Orsoni, William Verreault
In this paper, we develop a new approach to studying the Fourier transform of Gaussian multiplicative chaos. We determine the Fourier dimension of these random measures on tori for…
math.PR2021
On the probability of forming polygons from a broken stick
William Verreault
Break a stick at random at points to obtain pieces. We give an explicit formula for the probability that every choice of segments from this broken stick can form a $k…