Colloquium du CEREMADE

---

KNOWLES Antti (Université de Genève)

Le 02/06/2026
De 15:30 à 16:30
Titre : Random graphs as models of quantum disorder

Résumé : A disordered quantum system is mathematically described by a large Hermitian random matrix. One of the most remarkable phenomena expected to occur in such systems is a localization-delocalization transition for the eigenvectors. Originally proposed in the 1950s to model conduction in semiconductors with random impurities, the phenomenon is now recognized as a general feature of wave transport in disordered media, and is one of the most influential ideas in modern condensed matter physics. A simple and natural model of such a system is given by the adjacency matrix of a random graph. I report on recent progress in analysing the phase diagram for the Erdös-Renyi model of random graphs. In particular, I explain the emergence of fully localized and fully delocalized phases, which are separated by a mobility edge. I also explain how to obtain optimal delocalization bounds using a new Bernoulli flow method. Based on joint work with Johannes Alt, Raphael Ducatez, and Joscha Henheik.

Salle : A709

Groupe de travail Probabilites

---

MARINI Elisa ()

Le 03/06/2026
De 14:00 à 15:15
Titre : TBC

Résumé :

Salle : D205

Groupe de travail Probabilites

---

TBC ()

Le 17/06/2026
De 14:00 à 15:15
Titre : TBC

Résumé :

Salle : D205