9 citations · 23 across the 8 of their papers we have counts for
8 papers
Joint Moments of Characteristic Polynomials from the Orthogonal and Unitary Symplectic Groups
Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating +1
We establish asymptotic formulae for general joint moments of characteristic polynomials and their higher-order derivatives associated with matrices drawn randomly from the groups…
The separation modulus of unitarily invariant matrix norms
Mustafa Alper Gunes, Assaf Naor
If is a unitarily invariant normed space on , then we prove (via exact computations for a Jacobi orthogonal random matrix ensemble) that the spectra…
Exchangeable arrays and integrable systems for characteristic polynomials of random matrices
Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating +1
The joint moments of the derivatives of the characteristic polynomial of a random unitary matrix, and also a variant of the characteristic polynomial that is real on the unit circl…
Characteristic Polynomials of Orthogonal and Symplectic Random Matrices, Jacobi Ensembles & L-functions
Mustafa Alper Gunes
Starting from Montgomery's conjecture, there has been a substantial interest on the connections of random matrix theory and the theory of L-functions. In particular, moments of cha…
Convergence and an explicit formula for the joint moments of the Circular Jacobi -Ensemble characteristic polynomial
Theodoros Assiotis, Mustafa Alper Gunes, Arun Soor
The problem of convergence of the joint moments, which depend on two parameters and , of the characteristic polynomial of a random Haar-distributed unitary matrix and its de…
A reverse Hölder inequality for first eigenfunctions of the Dirichlet Laplacian on RCD(K,N) spaces
Mustafa Alper Gunes, Andrea Mondino
In the framework of (possibly non-smooth) metric measure spaces with Ricci curvature bounded below by a positive constant in a synthetic sense, we establish a sharp and rigid rever…
On a distinguished family of random variables and Painlevé equations
Theodoros Assiotis, Benjamin Bedert, Mustafa Alper Gunes +1
A family of random variables , depending on a real parameter , appears in the asymptotics of the joint moments of characteristic polynomials of rando…
Moments of Generalized Cauchy Random Matrices and continuous-Hahn Polynomials
Theodoros Assiotis, Benjamin Bedert, Mustafa Alper Gunes +1
In this paper we prove that, after an appropriate rescaling, the sum of moments of an $…