UMR 5669 CNRS
46 allée d'Italie
69364 Lyon Cedex 07, France
OFFICE Center 433
E-mail : corentin.faipeur[at]ens-lyon.fr
Welcome on my webpage ! I am a temporary research and teaching fellow in mathematics at
ENS Lyon and part of the 'Probability' team of
UMPA.
Before this, I have completed my PhD at
Institut Fourier, under the supervision of
Vincent Beffara.
My main research interest is about statistical mechanics and percolation.
At the same time, I teach preparatory courses for the
agrégation to master's students.
Detailed
CV.
PhD Thesis:
Glauber dynamics, factors of product measures and Gibbs measures, defended on October 16th, 2025
(
Thesis) (
Slides, in French)
Research
In statistical physics, we aim to understand the macroscopic behaviour of physical systems on the basis of microscopic interactions between particles. A particularly interesting phenomenon is the phase transition, which consists in an abrupt change in the behaviour of the system around a certain critical parameter (e.g. temperature). In 'real life', these include solid-liquid and liquid-gas transitions, as well as the so-called Curie point, which is the temperature at which a ferromagnetic material loses its magnetisation. Mathematically, this last phenomenon can be interpreted in the formalism of the Ising model, which is probably the reference model in statistical physics presenting a phase transition (in dimension d ≥ 2).
If the phase diagram of the Ising model is very well known today, it is mostly thanks to the existence of correlation inequalities of the 'FKG' type.
In my PhD thesis, I am interested in non-FKG methods that can be applied to models that are not positively correlated, as is the case for Ising at negative temperature, the random-cluster model with q<1, or even disordered systems with the addition of random coupling constants, used to model spin glasses.
Publications and preprints
- "A new bound for the critical point of the FK model for q<1" (2025). arXiv.
- "Glauber dynamics and coupling-from-the-past for Gaussian fields", Electron. J. Probab. 31: 1-38 (2026). Journal / arXiv.
- "Subcritical Boolean percolation on graphs of bounded degree", Electron. Commun. Probab. 30: 1-12, (2025). Journal / arXiv.
Teaching
This year, 2025-2026, I am teaching preparatory classes for the agrégation at ENS Lyon, mainly probability and statistics courses.
Between 2021 and 2025, I taught several tutorials and courses/tutorials at UGA, in the first and second years of the mathematics, computer science or physics degree programme.
Talks
- Mar. 2026 : Les probas du vendredi, LPSM, Paris (Abstract)
- Feb. 2026 : Les probabilités de demain, Institut Henri Poincaré, Paris (Program of the conference)
- Feb. 2026 : Workshop in Probability, Ergodic Theory and Dynamical Systems, Rouen (Abstract)
- Jan. 2026 : Probability seminar, ICJ/UMPA, Lyon (Abstract)
- Jan. 2026 : Probability seminar, I2M, Marseille (Abstract)
- Nov. 2025 : Oberseminar Stochastik, Institute for Applied Mathematics, Bonn University (Abstract)
- Sep. 2025 : Probability seminar, Institut Fourier, Grenoble (Abstract)
- April 2025 : SPACE Seminar, Institut Denis Poisson, Tours (Abstract)
- Jan. 2025 : Drafting workshop in Discrete Mathematics and Probability, Rényi Institute, Budapest (Webpage of the workshop)
- July 2024 : Probability summer school, Saint-Flour (Webpage the summer school)
- Nov. 2023 : "Comprehensible" PhD students seminar, Institut Fourier, Grenoble (Abstract)
- Oct. 2023 : Colloquium Young Probabilists and Statisticians, Saint-Pierre d'Oléron (Webpage of the colloquium)
- June 2023 : PPPP 2023, Superconcentration and chaos, Grenoble (Webpage of the conference)
- April 2023 : Probability seminar, Institut Fourier, Grenoble (Abstract)
- Oct. 2022 : PhD days, Institut Fourier, Grenoble (Program)
I co-organised a working group at the Institut Fourier, in which every week (or so!) a PhD student from the probability team or an M2 intern presents a research article recently posted on arXiv, on various topics in probability. You can find the list of talks here.
On Philippe Caldero's youtube channel, you'll find a series of videos I made (in French) on the sensitivity conjecture, proved by Hao Huang in 2019, on the complexity of Boolean functions.