4 papers
Maximum of the Characteristic Polynomial of I.I.D. Matrices
Giorgio Cipolloni, Benjamin Landon
We compute the leading order asymptotic of the maximum of the characteristic polynomial for i.i.d. matrices with real or complex entries. In particular, this result is new even for…
Optimal Delocalization for Non--Hermitian Eigenvectors
Giorgio Cipolloni, Benjamin Landon
We prove an optimal order delocalization estimate for the eigenvectors of general non-Hermitian matrices : wi…
Edge homogenization of Dyson Brownian motion and applications
Benjamin Landon, Tianhao Xian
We prove a homogenization result for the difference of two coupled Dyson Brownian motions started from generalized Wigner matrix initial data. We prove an optimal order, high proba…
Some estimates for generalized Wigner matrix linear spectral statistics
Benjamin Landon
We consider the characteristic function of linear spectral statistics of generalized Wigner matrices. We provide an expansion of the characteristic function with error $\mathcal{O}…