Moments of moments of characteristic polynomials of random unitary matrices and lattice point counts

In this note, we give a combinatorial and noncomputational proof of the asymptotics of the integer moments of the moments of the characteristic polynomials of Haar distributed unitary matrices as the size of the matrix goes to infinity. This is achieved by relating these quantities to a lattice poin...

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Hlavní autoři: Assiotis, T, Keating, JP
Médium: Journal article
Jazyk:English
Vydáno: World Scientific Publishing 2020