Raphael Ducatez

activity

20162019

most citedA forward--backward random process for the spectrum of 1D Anderson operators

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.PR2019

Extremal eigenvalues of critical Erdős-Rényi graphs

Johannes Alt, Raphaël Ducatez, Antti Knowles

We complete the analysis of the extremal eigenvalues of the the adjacency matrix $A$ of the Erdős-Rényi graph $G (N, d / N)$ in the critical regime $d ≍ lo g N$ of the transition…

math-ph2017★ 1 cited

A forward--backward random process for the spectrum of 1D Anderson operators

Raphael Ducatez

We give a new expression for the law of the eigenvalues of the discrete Anderson model on the finite interval $[0, N]$ , in terms of two random processes starting at both ends of the…

math-ph2016

Anderson localisation for infinitely many interacting particles in Hartree-Fock theory

Raphael Ducatez

We prove the occurrence of Anderson localisation for a system of infinitely many particles interacting with a short range potential, within the ground state Hartree-Fock approximat…