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math.PR2021
Random symmetric matrices: rank distribution and irreducibility of the characteristic polynomial
Asaf Ferber, Vishesh Jain, Ashwin Sah +1
Conditional on the extended Riemann hypothesis, we show that with high probability, the characteristic polynomial of a random symmetric -matrix is irreducible. This addr…
math.PR2021
Singularity of the k-core of a random graph
Asaf Ferber, Matthew Kwan, Ashwin Sah +1
Very sparse random graphs are known to typically be singular (i.e., have singular adjacency matrix), due to the presence of "low-degree dependencies'' such as isolated vertices and…