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math.PR2023
Hole radii for the Kac polynomials and derivatives
Hoi H. Nguyen, Oanh Nguyen
The Kac polynomial with independent coefficients of variance 1 is one of the most studied models of random polynomials. It is well-known that th…
math.PR2023
A note on the singularity probability of random directed -regular graphs
Hoi H. Nguyen, Amanda Pan
In this note we show that the singular probability of the adjacency matrix of a random -regular graph on vertices, where is fixed and , is bounded by $n^{-…