Recent results of quantum ergodicity on graphs and further investigation

Nalini Anantharaman (1) , Mostafa Sabri (2)

1 IRMA - Institut de Recherche Mathématique Avancée
2 UP11 - Université Paris-Sud - Paris 11

We outline some recent proofs of quantum ergodicity on large graphs and give new applications in the context of irregular graphs. We also discuss some remaining questions.

Domaines: Théorie spectrale [math.SP]; Physique mathématique [math-ph]

Nalini Anantharaman, Mostafa Sabri. Recent results of quantum ergodicity on graphs and further investigation. 2017. ⟨hal-01637918v1⟩