3 papers
math.PR2020
A solvable class of renewal processes
Nathanaël Enriquez, Nathan Noiry
When the distribution of the inter-arrival times of a renewal process is a mixture of geometric laws, we prove that the renewal function of the process is given by the moments of a…
math.PR2019
Spectral Measures of Spiked Random Matrices
Nathan Noiry
We study two spiked models of random matrices under general frameworks corresponding respectively to additive deformation of random symmetric matrices and multiplicative perturbati…
math.PR2017
Spectra of Wishart Matrices with size-dependent entries
Nathan Noiry
We prove the convergence of the empirical spectral measure of Wishart matrices with size-dependent entries and characterize the limiting law by its moments. We apply our result to…