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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.SP2024
Widom's conjecture: variance asymptotics and entropy bounds for counting statistics of free fermions
Alix Deleporte, Gaultier Lambert
We obtain a central limit theorem for bulk counting statistics of free fermions in smooth domains of with an explicit description of the covariance structure. This a…