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math.GR2025
Subgroups of a free group with every growth rate
Michail Louvaris, Daniel T. Wise, Gal Yehuda
For every , we show there exists a subgroup whose growth rate is .
math.PR2025
On the spectral radius and the characteristic polynomial of a random matrix with independent elements and a variance profile
Walid Hachem, Michail Louvaris
In this paper, it is shown that with large probability, the spectral radius of a large non-Hermitian random matrix with a general variance profile does not exceed the square root o…