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math.PR2026
On the Fourier coefficients of critical Gaussian multiplicative chaos
Louis-Pierre Arguin, Jad Hamdan
We continue the study of the Fourier coefficients of Gaussian multiplicative chaos (GMC) recently initiated by Garban and Vargas. We show that if are the Fourie…
math.PR2025
Genus expansion for non-linear random matrix ensembles with applications to neural networks
Nicola Muca Cirone, Jad Hamdan, Cristopher Salvi
We present a unified approach to studying certain non-linear random matrix ensembles and associated random neural networks at initialization. This begins with a novel series expans…