5 papers
CLT for Circular beta-Ensembles at High Temperature
Adrien Hardy, Gaultier Lambert
We consider the macroscopic large N limit of the Circular beta-Ensemble at high temperature, and its weighted version as well, in the regime where the inverse temperature scales as…
Mutual Information of Wireless Channels and Block-Jacobi Ergodic Operators
Walid Hachem, Adrien Hardy, Shlomo Shamai
Shannon's mutual information of a random multiple antenna and multipath channel is studied in the general case where the channel impulse response is an ergodic and stationary proce…
DLR equations and rigidity for the Sine-beta process
David Dereudre, Adrien Hardy, Thomas Leblé +1
We investigate Sine, the universal point process arising as the thermodynamic limit of the microscopic scale behavior in the bulk of one-dimensional log-gases, or -ensembles…
Time-frequency transforms of white noises and Gaussian analytic functions
Rémi Bardenet, Adrien Hardy
A family of Gaussian analytic functions (GAFs) has recently been linked to the Gabor transform of white Gaussian noise [Bardenet et al., 2017]. This answered pioneering work by Fla…
Energy of the Coulomb gas on the sphere at low temperature
Carlos Beltrán, Adrien Hardy
We consider the Coulomb gas of particles on the sphere and show that the logarithmic energy of the configurations approaches the minimal energy up to an error of order …