Joint moments of higher order derivatives of CUE characteristic polynomials I: asymptotic formulae

We derive explicit asymptotic formulae for the joint moments of the n1-th and n2-th derivatives of the characteristic polynomials of Circular Unitary Ensemble random matrices for any non-negative integers n1n2⁠. These formulae are expressed in terms of determinants whose entries involve modified Bes...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Keating, JP, Wei, F
Формат: Journal article
Хэл сонгох:English
Хэвлэсэн: Oxford University Press 2024