We study the fluctuations of the largest eigenvalue λ max of N× N random matrices in the
limit of large N. The main focus is on Gaussian β ensembles, including in particular the …

There has been a surge of progress in recent years in develo** algorithms for testing and
learning quantum states that achieve optimal copy complexity 1–6. Unfortunately, they …

Recent experimental progress has made it possible to detect in real-time single electrons
tunneling through Coulomb blockade nanostructures, thereby allowing for precise …

We investigate the full counting statistics of a harmonically confined 1d short range Riesz
gas consisting of N particles in equilibrium at finite temperature. The particles interact with …

We study three instances of log-correlated processes on the interval: the logarithm of the
Gaussian unitary ensemble (GUE) characteristic polynomial, the Gaussian log-correlated …

We study the cumulants and their generating functions of the probability distributions of the
conductance, shot noise and Wigner delay time in ballistic quantum dots. Our approach is …

An exact formula for the variance of linear statistics in the one-dimensional jellium model -
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We develop a method to compute the moments of the eigenvalue densities of matrices in the
Gaussian, Laguerre, and Jacobi ensembles for all the symmetry classes β∈{1, 2, 4} and …

The largest eigenvalue distribution of the Wishart–Laguerre ensemble, indexed by Dyson
parameter and Laguerre parameter a, is fundamental in multivariate statistics and finds …

We establish large deviation formulas for linear statistics on the N transmission eigenvalues
{T i} of a chaotic cavity, in the framework of random matrix theory. Given any linear statistics …