32 citations · 95 across the 8 of their papers we have counts for
9 papers
Extreme eigenvalues of random matrices from Jacobi ensembles
B. Winn
Two-term asymptotic formulae for the probability distribution functions for the smallest eigenvalue of the Jacobi -Ensembles are derived for matrices of large size in the régim…
Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We consider a sequence of finite quantum graphs with few loops, so that they converge, in the sense of Benjamini-Schramm, to a random infinite quantum tree. We assume these quantum…
Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We introduce the notion of Benjamini-Schramm convergence for quantum graphs. This notion of convergence, intended to play the role of the already existing notion for discrete graph…
Absolutely Continuous Spectrum for Quantum Trees
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We study the spectra of quantum trees of finite cone type. These are quantum graphs whose geometry has a certain homogeneity, and which carry a finite set of edge lengths, coupling…
Quantum ergodicity for large equilateral quantum graphs
Maxime Ingremeau, Mostafa Sabri, Brian Winn
Consider a sequence of finite regular graphs (GN) converging, in the sense of Benjamini-Schramm, to the infinite regular tree. We study the induced quantum graphs with equilateral…
Moments of the eigenvalue densities and of the secular coefficients of -ensembles
Francesco Mezzadri, Alexi K. Reynolds
We compute explicit formulae for the moments of the densities of the eigenvalues of the classical -ensembles for finite matrix dimension as well as the expectation values of the…