Raphaël Ducatez

activity

20162024

most citedLarge deviation principle for the largest eigenvalue of random matrices with a variance profile

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

collaborators

3 papers

math.PR2024★ 2 cited

Large deviation principle for the largest eigenvalue of random matrices with a variance profile

Raphaël Ducatez, Alice Guionnet, Jonathan Husson

We establish large deviation principles for the largest eigenvalue of large random matrices with variance profiles. For $N \in N$ , we consider random $N \times N$ symmetric…

math.PR2023

Spectral gap and embedded trees for the Laplacian of the Erdős-Rényi graph

Raphael Ducatez, Renaud Rivier

For the Erdős-Rényi graph of size $N$ with mean degree $(1 + o (1)) \frac{l o g N}{t + 1} \leq d \leq (1 - o (1)) \frac{l o g N}{t}$ where $t \in N^{*}$ , with high probability the smallest…

math-ph2016★ 1 cited

Anderson Localisation for periodically driven systems

Raphael Ducatez, François Huveneers

We study the persistence of localization for a strongly disordered tight-binding Anderson model on the lattice $Z^{d}$ , periodically driven on each site. Under two different…