Informations générales
Intitulé de l'offre : Two-years postdoc on random tensors and free probability (M/F) (H/F)
Référence : UMR5672-LUCLIO-001
Nombre de Postes : 1
Lieu de travail : LYON 07
Date de publication : mardi 4 novembre 2025
Type de contrat : Chercheur en contrat CDD
Durée du contrat : 24 mois
Date d'embauche prévue : 1 octobre 2026
Quotité de travail : Complet
Rémunération : Between 3021 € and 4208 € monthly before tax, depending on the experience of the candidate
Niveau d'études souhaité : Doctorat
Expérience souhaitée : Indifférent
Section(s) CN : 41 - Mathématiques et interactions des mathématiques
Missions
Development of the theory of free probability for random tensors (references below), and potentially application to quantum information.
References:
Collins, Gurau, Lionni - Free cumulants and freeness for unitarily invariant random tensors - 2410.00908
Nechita, Park - Tensor free probability theory: asymptotic tensor freeness and central limit theorem - 2504.01782
Bordenave, Bonnin - Freeness for tensors - 2407.18881
Kunisky, Moore, Wein - Tensor cumulants for statistical inference on invariant distributions - 2404.18735
Lancien, Oliveira Santos, Youssef - Central Limit Theorem for tensor products of free variables - 2404.19662
Activités
- Development of the theory of free probability for random tensors (main task)
- Application to quantum information: random quantum states, randomized measurements... (secondary task)
Compétences
- Research experience in free probability theory and on random matrices
- Knowledge about random tensors and/or quantum information theory is non-mandatory but appreciated.
Contexte de travail
Application deadline December 10, 2025. Documents recquired: a CV, a cover letter that must include a research statement (past and on going research), and two recomandation letters, to be sent directly at the mail address: postdoc-applications-lionni@ens-lyon.fr .
Starting date expected in the fall 2026. No teaching duties.
The position will be in the physics department of the institute (https://www.ens-lyon.fr/PHYSIQUE/accueil-new?set_language=en&cl=en), in the theoretical physics team (gravity, quantum gravity, quantum field theory, quantum information, statistical physics, condensed matter, integrability, random matrices, etc...).
The mathematics department of ENS (https://www.umpa.ens-lyon.fr/accueil-bis?set_language=en&cl=en) is three floors above,
and the mathematics department of the university is on the other side of town (https://math.univ-lyon1.fr/icj/). There is intensive research on random matrices and related in both departments.
The successful applicant will be hired for this postdoc position by the CNRS, which gives access to
- 44 days of vacation per year
- a university restaurant for lunch during weekdays
- partial reimbursement of transportation tickets (75%) + up to 300€/year to cover the cost of a "sustainable" transport (such as a bicycle)
Contraintes et risques
None