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...
Autors principals: | Assiotis, T, Keating, JP |
---|---|
Format: | Journal article |
Idioma: | English |
Publicat: |
World Scientific Publishing
2020
|
Ítems similars
-
On the joint moments of the characteristic polynomials of random unitary matrices
per: Assiotis, T, et al.
Publicat: (2021) -
On the moments of the moments of the characteristic polynomials of random unitary matrices
per: Bailey, E, et al.
Publicat: (2019) -
On the moments of the moments of the characteristic polynomials of Haar distributed symplectic and orthogonal matrices
per: Assiotis, T, et al.
Publicat: (2022) -
Moments of moments of the characteristic polynomials of random orthogonal and symplectic matrices
per: Claeys, T, et al.
Publicat: (2023) -
On the critical-subcritical moments of moments of random characteristic polynomials: a GMC perspective
per: Keating, J, et al.
Publicat: (2022)