Cyril Labbé Professeur Université de Paris UFR de Mathématiques et LPSM Bâtiment Sophie Germain 8 place Aurélie Nemours 75013 Paris   Office: 5008 Phone: --- Email: clabbe--AT--lpsm.paris

Research interests:

Stochastic analysis (stochastic PDEs, regularity structures), Particle systems (scaling limits, mixing times), Random operators/matrices (asymptotic behaviour of the spectrum, Anderson localisation), Branching processes (CSBP, random trees, coalescents).

I have had the great pleasure to collaborate with:
Jeanne Boursier, Pietro Caputo, Djalil Chafaï, Laure Dumaz, Thomas Duquesne, Alison M. Etheridge, Paul Gassiat, Martin Hairer, Yueh-Sheng Hsu and Hubert Lacoin.

Publications and preprints:

1. From flows of Lambda-Fleming-Viot processes to lookdown processes via flows of partitions
   Electronic Journal of Probability, 2014 vol.19, no 55 pp 1-49.
   [arXiv] [Journal]


2. Genealogy of flows of continuous-state branching processes via flows of partitions and the Eve property
   Annales de l'Institut Henri Poincaré, 2014 vol.50, no 3 pp 732-769.
   [arXiv] [Journal]


3. Quasi-stationary distributions associated with explosive CSBP
   Electronic Communications in Probability, 2013 vol. 18, no 57 pp 1-13.
   [arXiv] [Journal]


4. On the Eve property for CSBP
   written in collaboration with Thomas Duquesne
   Electronic Journal of Probability, 2014 vol.19, no 6 pp 1-31.
   [arXiv] [Journal]


5. Scaling limits of weakly asymmetric interfaces
   written in collaboration with Alison M. Etheridge
   Communications in Mathematical Physics, 2015 vol. 336, issue 1, pp 287-336.
   [arXiv] [Journal]


6. A simple construction of the continuum parabolic Anderson model on R^2
   written in collaboration with Martin Hairer
   Electronic Communications in Probability, 2015 vol. 20, no 43 pp 1-11.
   [arXiv] [Journal]


7. Multiplicative stochastic heat equations on the whole space
   written in collaboration with Martin Hairer
   Journal of the European Mathematical Society, 2018 vol. 20, issue 4, pp 1005-1054.
   [arXiv] [Journal]


8. Weakly asymmetric bridges and the KPZ equation
   Communications in Mathematical Physics, 2017 vol. 353, issue 3, pp 1261-1298.
   [arXiv] [Journal]


9. The reconstruction theorem in Besov spaces
   written in collaboration with Martin Hairer
   Journal of Functional Analysis, 2017 vol. 273, issue 8, pp 2578-2618.
   [arXiv] [Journal]


10. On the scaling limits of weakly asymmetric bridges
    Probability Surveys, 2018 vol. 15, pp 156-242.
    [arXiv] [Journal]


11. Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling
    written in collaboration with Hubert Lacoin
    Annals of Probability, 2019 vol. 47, No. 3, 1541-1586.
    [arXiv] [Journal]


12. Localization of the continuous Anderson Hamiltonian in 1-d
    written in collaboration with Laure Dumaz
    Probability Theory and Related Fields, 2020 vol. 176, No.1-2, 353-419.
    [arXiv][Journal]


13. Existence of densities for the dynamic Φ⁴₃ model
    written in collaboration with Paul Gassiat
    Annales de l'Institut Henri Poincaré, 2020 vol. 56, No.1, 326-373.
    [arXiv][Journal]


14. Mixing time and cutoff for the weakly asymmetric simple exclusion process
    written in collaboration with Hubert Lacoin
    Annals of Applied Probability, 2020 vol. 30, No.4, 1847-1883.
    [arXiv][Journal]


15. The continuous Anderson hamiltonian in d ≤ 3
    Journal of Functional Analysis, 2019 vol. 277, issue 9, pp 3187-3235.
    [arXiv][Journal]


16. Mixing time of the adjacent walk on the simplex
    written in collaboration with Pietro Caputo and Hubert Lacoin
    Annals of Probability, 2020 vol. 48, No. 5, pp 2449-2493.
    [arXiv][Journal]


17. The stochastic Airy operator at large temperature
    written in collaboration with Laure Dumaz
    accepted at Annals of Applied Probability;
    [arXiv][Journal]


18. Spectral gap and cutoff for the Gibbs sampler of ∇φ interfaces with convex potential
    written in collaboration with Pietro Caputo and Hubert Lacoin
    accepted at Annales de l'Institut Henri Poincaré
    [arXiv][Journal]


19. The delocalized phase of the Anderson Hamiltonian in 1-d
    written in collaboration with Laure Dumaz
    submitted.
    [arXiv]


20. Localization crossover for the continuous Anderson Hamiltonian in 1-d
    written in collaboration with Laure Dumaz
    submitted.
    [arXiv]


21. Universal cutoff for Dyson Ornstein Uhlenbeck process
    written in collaboration with Jeanne Boursier and Djalil Chafaï
    submitted.
    [arXiv]


22. Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in d ≤ 3
    written in collaboration with Yueh-Sheng Hsu
    submitted.
    [arXiv]

PhD students:

• Enguérand Petit (co-supervised with Cristina Toninelli)
  since 2019
• Lucas Broux (co-supervised with Lorenzo Zambotti)
  since 2019
• Yueh-Sheng Hsu
  since 2020

Talks:

Forthcoming:

2021:

• Nancy - SPDE workshop (Dec. 21)
• Bristol, Queen Mary, Warwick - Proba. seminar (Dec. 21)
• Bath - Proba. seminar (Nov. 21)
• Univ.~Cergy-Pontoise - Colloquiuum (Nov. 21)
• Ecole Polytechnique - S\'eminaire du CMAP (Nov. 21)
• Sorbonne univ. - LPSM (Oct. 21)

2020:

• Grenoble - Probability seminar (Apr. 20)
• Florence - Workshop on Random Schroedinger operators and related topics (Feb. 20)
• Bath - Probability seminar (Feb. 20)
• Orleans - Mathematics seminar (Jan. 20)

2019:

• Creteil - Probability and statistics seminar (Dec. 19)
• Bonn - Workshop on Singular SPDEs and Related Topics (Oct. 19)
• Luminy - Conference PDE-Probability (Oct. 19)
• CentraleSupelec - Seminar (Sept. 19)
• Imperial College - Workshop on Probability, PDEs and Physics (Jul. 19)
• KTH Stockholm - Gustafsson symposium (Jun. 19)
• Lille - Probability seminar (May 19)
• Paris 6 - Probability seminar (May 19)
• Marseille - Probability seminar (Mar 19)
• Oxford - Stochastic analysis seminar (Feb. 19)
• Warwick - Probability Seminar (Jan. 19)
• Imperial College - Probability Seminar (Jan. 19)

2018:

• IST Austria - Probability/Analysis/Math Phys Seminar (Nov. 18)
• Mannheim - Probability Seminar (Oct. 18)
• Dijon - Journées MAS (Aug. 18)
• Rio IMPA - Probability seminar (June 18)
• Paris ENSTA - Seminaire proba., stat. et controle (May 18)
• TU Berlin - Proba. Seminar (Apr. 18)
• Paris IHP - Groupe de Travail MEGA (Apr. 18)
• Orsay - Probability seminar (Jan. 18)

2017:

• College de France - Seminaire de Mathematiques Appliquees (Dec. 17) - [Video]
  
• Lyon - Probability seminar (Nov. 17)
• Paris 6 - Probas du vendredi (Nov. 17)
• Cermics (Ponts) - Seminar (Nov. 17)
• Salzburg - Meeting of the German and Austrian Math. Soc. (Sept. 17)
• Paris 13 - Probability seminar (Jun. 17)
• Sheffield - Interacting Systems and SPDE (Jun. 17)
• Marseille - Probability seminar (May 17)
• Columbia/Courant - Probability seminar (Apr. 17)
• Nanterre - Probability seminar (Apr. 17)
• Warwick - SPDE conference (Mar. 17)
• Angers - Probability seminar (Mar. 17)
• Paris 7 - Working group seminar (Jan. 17)

2016:

• Zurich - Probability seminar (Dec. 16)
• Warwick - Stat. Mech. seminar (Nov. 16)
• Orlando - 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications (July 16)
• Paris IHP - Paris-Bath meeting (Jun. 16)
• Mannheim - Workshop on stochastic differential equations (Jun. 16)
• Luminy - Workshop on random trees and maps (Jun. 16)
• Paris 7 - Probability seminar (May 16)
• Oberwolfach - Workshop on rough paths, reg. struct. and SPDEs (May 16)
• Warwick - Workshop on Probabilistic models (Mar. 16)
• Strasbourg - Frontiers in Analysis and Probability (Mar. 16)

2015:

• Nice - Stochastic analysis conference (Nov. 15)
• Cambridge - Probability seminar (Nov. 15)
• Dauphine - Analysis and Probability seminar (Nov. 15)
• York - East Midlands Stochastic Analysis Seminar (July 15)
• Warwick - Renormalisation group theory and regularity structures summer school (May 15)
• Lyon - Probability seminar (Apr. 15)
• Paris - Workshop on SPDEs (Apr. 15)
• Cambridge - British Mathematical Colloquium (Mar. 15)
• Berlin - Rough paths meeting (Jan. 15)

2014:

• Bath - Probability seminar (Nov. 14)
• Rennes - Probability seminar Nov. 14)
• Oxford - Stochastic Analysis seminar (Nov. 14)
• Warwick - Probability seminar (Oct. 14)
• Pisa - Singular SPDEs summer school (Sept. 14)
• Oxford - Rough paths meeting (July 14)
• Polytechnique - Probability seminar (Jan. 14)
• Warwick - Statistical mechanics seminar (Jan. 14)

2013:

• Oxford - Probability seminar (Nov. 13)
• Montreal - Random trees workshop (Aug. 13)
• Nancy - Probability seminar (Apr. 13)