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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Những tác giả chính: Assiotis, T, Keating, JP
Định dạng: Journal article
Ngôn ngữ:English
Được phát hành: World Scientific Publishing 2020