Traces of powers of matrices over finite fields

LetM be a random matrix chosen according to Haar measure from the unitary group U(n,C). Diaconis and Shahshahani proved that the traces of M,M2, . . . ,Mk converge in distribution to independent normal variables as n→∞, and Johansson proved that the rate of convergence is superexponential in n. We p...

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Autori principali: Gorodetsky, O, Rodgers, B
Natura: Journal article
Lingua:English
Pubblicazione: American Mathematical Society 2021