Author

Quentin François

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Preprint Aug 2026

Characteristic polynomial of self-normalized random matrices

We study the characteristic polynomial of self-normalized random matrices, whose rows are independent and normalized to have unit $\mathrm{L}^2$ norm. The entries before normalization are assumed to have regularly varying tails with tail index $\alpha \in [0,2]$. We prove that, outside the unit disk, the characteristic...

Quentin François, J. Heiny, Xuechun Hu · 0 citations