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Corentin FAIPEUR

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Institut Fourier
UMR 5582 CNRS

100 rue des maths
38610 Gières, France
OFFICE 210
E-mail :
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Welcome on my web page ! I am a PhD student at Institut Fourier, under the supervision of Vincent Beffara.
I'm part of the 'Probability' group and I'm particularly interested in statistical physics, where I study models of interacting particles and percolation.
At the same time, I teach at Univ. Grenoble Alpes at undergraduate level.

Detailed
CV.




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.
Preprints
  • Glauber dynamics and coupling-from-the-past for Gaussian fields, 2024. See on arxiv.
  • Subcritical boolean percolation on graphs of bounded degree, 2024. See on arxiv.
Teaching
Since 2021, I give a course for first year maths-IT students, about mathematical language, complex numbers, functions, sequences...
I am also teaching fellow of introduction to probability for second year maths and physics students.
Talks
  • July 2024 : Probability summer school, Saint-Flour, Glauber dynamics and coupling from the past for Gaussian fields (Webpage the summer school)
  • Nov. 2023 : "Comprehensible" PhD students seminar, Finitely dependent coloring of Z, Institut Fourier, Grenoble (Abstract)
  • Oct. 2023 : Colloquium Young Probabilists and Statisticians, Glauber dynamics and coupling from the past for Gaussian fields, Saint-Pierre d'Oléron (Webpage of the colloquium)
  • June 2023 : PPPP 2023, Superconcentration and chaos for spin glasses, Grenoble (Webpage of the conference)
  • April 2023 : Probability seminar, Glauber dynamics and coupling from the past for Gaussian fields, Institut Fourier, Grenoble (Abstract)
  • Oct. 2022 : PhD days, Coupling from the past for Gaussian fields, Institut Fourier, Grenoble (Program)
I organise 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.
Miscellaneous
Here is a manifesto for limiting the use of planes in maths labs (in French), initiated by colleagues in Lyon and Grenoble.
View from Saint-Eynard fort