Raphael Ducatez

activity

20162023

most citedFull large deviation principles for the largest eigenvalue of sub-Gaussian Wigner matrices

3 citations · 10 across the 10 of their papers we have counts for

collaborators

Showing 2021 · math.PRShow all

2 papers · 2 filters

math.PR2021

The completely delocalized region of the Erdős-Rényi graph

Johannes Alt, Raphael Ducatez, Antti Knowles

We analyse the eigenvectors of the adjacency matrix of the Erdős-Rényi graph on $N$ vertices with edge probability $\frac{d}{N}$ . We determine the full region of delocalization by…

math.PR2021★ 2 cited

Poisson statistics and localization at the spectral edge of sparse Erdős-Rényi graphs

Johannes Alt, Raphael Ducatez, Antti Knowles

We consider the adjacency matrix $A$ of the Erdős-Rényi graph on $N$ vertices with edge probability $d / N$ . For $(lo g lo g N)^{4} ≪ d ≲ lo g N$ , we prove that the eigenvalue…