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math.PR2024
Subcritical multiplicative chaos and the characteristic polynomial of the CE
Gaultier Lambert, Joseph Najnudel
The goal of this article is to expand on the relationship between random matrix and multiplicative chaos theories using the integrability properties of the circular beta-ensembles.…
math.PR2024
Limit fluctuations of stationary measure of totally asymmetric simple exclusion process with open boundaries on the coexistence line
Włodzimierz Bryc, Joseph Najnudel, Yizao Wang
We describe limit fluctuations of the height function for the open TASEP on the coexistence line under the stationary measure. It is known that the height function satisfies a law…
math.PR2024
Anti-concentration applied to roots of randomized derivatives of polynomials
André Galligo, Joseph Najnudel, Truong Vu
Let be a random set of points and let be its \emph{empirical measure}: Let $$P_n(z) := (z -…