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...
Main Authors: | Assiotis, T, Keating, JP |
---|---|
Format: | Journal article |
Language: | English |
Published: |
World Scientific Publishing
2020
|
Similar Items
-
On the joint moments of the characteristic polynomials of random unitary matrices
by: Assiotis, T, et al.
Published: (2021) -
On the moments of the moments of the characteristic polynomials of random unitary matrices
by: Bailey, E, et al.
Published: (2019) -
On the moments of the moments of the characteristic polynomials of Haar distributed symplectic and orthogonal matrices
by: Assiotis, T, et al.
Published: (2022) -
Moments of moments of the characteristic polynomials of random orthogonal and symplectic matrices
by: Claeys, T, et al.
Published: (2023) -
On the critical-subcritical moments of moments of random characteristic polynomials: a GMC perspective
by: Keating, J, et al.
Published: (2022)