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math.PR2024
Universality of Persistence of Random Polynomials
Promit Ghosal, Sumit Mukherjee
We investigate the probability that a random polynomial with independent, mean-zero and finite variance coefficients has no real zeros. Specifically, we consider a random polynomia…
math.PR2024
Large random matrices with given margins
Hanbaek Lyu, Sumit Mukherjee
We study large random matrices with i.i.d. entries conditioned to have prescribed row and column sums (margins), a problem connected to relative entropy minimization, Schrödinger b…