6 papers
Discretization of the maximum for the derivatives of a random model of on the critical line
Louis-Pierre Arguin, Frédéric Ouimet, Christian Webb
In this short note, we study the derivatives of all orders for the random field where $…
How much can the eigenvalues of a random Hermitian matrix fluctuate?
Tom Claeys, Benjamin Fahs, Gaultier Lambert +1
The goal of this article is to study how much the eigenvalues of large Hermitian random matrices deviate from certain deterministic locations -- or in other words, to investigate o…
Network-based Biased Tree Ensembles (NetBiTE) for Drug Sensitivity Prediction and Drug Sensitivity Biomarker Identification in Cancer
Ali Oskooei, Matteo Manica, Roland Mathis +1
We present the Network-based Biased Tree Ensembles (NetBiTE) method for drug sensitivity prediction and drug sensitivity biomarker identification in cancer using a combination of p…
Multiplicative chaos and the characteristic polynomial of the CUE: the -phase
Miika Nikula, Eero Saksman, Christian Webb
In this note we prove that suitable positive powers of the absolute value of the characteristic polynomial of a Haar distributed random unitary matrix converge in law, as the size…
Imaginary multiplicative chaos: Moments, regularity and connections to the Ising model
Janne Junnila, Eero Saksman, Christian Webb
In this article we study imaginary Gaussian multiplicative chaos -- namely a family of random generalized functions which can formally be written as , where is a lo…
Multiplicative chaos measures for a random model of the Riemann zeta function
Eero Saksman, Christian Webb
We prove convergence of a stochastic approximation of powers of the Riemann function to a non-Gaussian multiplicative chaos measure, and prove that this measure is a non-trivia…