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Gaultier Lambert

About me

I am a research fellow at the Institut für Mathematik at the University of Zurich, My research is supported by an ambizione grant (S-71114-05-01, CHF 534364) from the Swiss National Science Foundation.

I did my Ph.D. under the supervision of Kurt Johansson at KTH Royal Institute of Technology in Stockholm. Here you can find the manuscript of my thesis on "Fluctuations of smooth linear statistics of determinantal point processes" that I defended in June 2016. From September 2016 to December 2018, I was a postdoc at the University of Zurich in the research group of Ashkan Nikeghbali. In 2017, I received a grant from the UZH Forschungskredit (# FK-17-112, CHF 108639) to support my research.

My mathematical interests lie at the interface between probability theory, analysis, combinatorics and mathematical physics. My research focuses on random matrices, statistical physics, and Gaussian Multiplicative Chaos.

Contact

gaultier.lambert@math.uzh.ch

Institut für Mathematik
Universität Zürich
Winterthurerstrasse 190, 8057 Zürich
Office: Campus Irchel Y27J06.

Papers and preprints

  1. CLT for Circular beta-Ensembles at High Temperature, with A. Hardy.
  2. How much can the eigenvalues of a random Hermitian matrix fluctuate? with T. Claeys, B. Fahs and C. Webb
  3. Mesoscopic central limit theorem for the circular β-ensembles and applications.
  4. The law of large numbers for the maximum of the characteristic polynomial of the Ginibre ensemble.
  5. Quantitative normal approximation of linear statistics of β-ensembles, with M. Ledoux and C. Webb.
    Ann. Probab. (2019+)
  6. Incomplete determinantal processes: from random matrix to Poisson statistics.
    J. Stat. Phys. (2019)
  7. Subcritical multiplicative chaos for regularized counting statistics from random matrix theory, with D. Ostrovsky and N. Simm.
    Commun. Math. Phys., Volume 360 (2018), Issue 1, 1-54
  8. The law of large numbers for the maximum of almost Gaussian log-correlated random fields coming from random matrices, with E. Paquette.
    Probab. Theory Relat. Fields 173:157-209 (2019)
  9. Limit theorems for biorthogonal ensembles and related combinatorial identities.
    Adv. Math., Volume 329 (2018), 590-648
  10. Mesoscopic fluctuations for unitary invariant ensembles
    Electron. J. Probab., Volume 23 (2018), paper no. 7, 33 pp
  11. Gaussian and non-Gaussian fluctuations for mesoscopic linear statistics in determinantal processes, with K. Johansson.
    Ann. Probab., Volume 46, Number 3 (2018), 1201-1278.
  12. Symmetry-breaking phase transition in a dynamical decision model, with E. Bertin and G. Chevereau.
    J. Stat. Mech. P06005 (2011)
My papers are also available on arXiv

Teaching

At the University of Zurich

At KTH Royal Institute of Technology

Conferences and Workshops

Seminar talks

2019:

2018:

2017:

2016:

2015:

Updated on September 3, 2019