Provides a Perron-Frobenius matrix realization proving the dominant zero of Nekrasov-Okounkov polynomials is the unique zero of maximal modulus, real, negative, and simple.
Abdesselam, Proof of a conjecture by Starr and log-concavity for random commuting permutations, arXiv:2506.06894
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Dominant Zeros of Nekrasov--Okounkov Polynomials
Provides a Perron-Frobenius matrix realization proving the dominant zero of Nekrasov-Okounkov polynomials is the unique zero of maximal modulus, real, negative, and simple.