Lucas D’Alimonte

Post-doctoral researcher in mathematics
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About me

I am currently a post-doctoral researcher at the Institut Camille Jordan (Université Lyon 1), working in the group of Christophe Garban.
Prior to that, I was employed by the LPSM (Sorbonne Université) in Paris, in the group of Piet Lammers.
I did my PhD under the supervision of Ioan Manolescu at the University of Fribourg (Switzerland).
My research mainly focuses on probability theory, with a particular emphasis on statistical mechanics lattice models such as FK percolation and spin models.
You can find here a detailed CV (click here for a French version)

I am a member of the Association for Human Mathematics, which aims to protect our understanding of mathematics against the threat of artificial intelligence. I refrain from using AI tools in my personal research.

Feel free to reach out to me at any time! My contact info is:

  • Bureau 225, Bâtiment Braconnier, 21 avenue Claude Bernard, 69100 Villeurbanne, France
  • dalimonte[at]math.univ-lyon1.fr

Lucas D’Alimonte

Research

Prepublications & Publications

  1. Uniform analyticity of local observables in FK-percolation and analyticity of the Ising spontaneous magnetisation, with Loïc Gassmann.
    Submitted (27 pages). [arXiv]
  2. Free energy analyticity of the disordered XY model and Debye screening in the 2D Coulomb gas, with Piet Lammers.
    Submitted (36 pages). [arXiv]
  3. Near critical Ornstein–Zernike theory for the planar random cluster model, with Ioan Manolescu.
    To appear in Communications in Mathematical Physics, (2026). [arXiv]
  4. Exact cube-root fluctuations in an area-constrained random walk model, with Romain Panis.
    To appear in Annales de l'Institut Henri Poincaré (B), (2026). [arXiv]
  5. Entropic repulsion and scaling limit for a finite number of non-intersecting subcritical FK interfaces.
    in Electronic Journal of Probability, Vol. 29, paper no. 68, 1–53 (2024) [arXiv, journal]

Notes, other material

  1. Contributions to the phase separation problem and Ornstein–Zernike theory. PhD dissertation, 231 pages, 2024. [pdf]
  2. Propriétés de connectivité du processus de percolation fractale de Mandelbrot. Joint with Maxime Ligonnière. Bachelor thesis, 29 pages (in French). [pdf]

Co-authors

I had the pleasure to collaborate with: Loïc Gassmann, Piet Lammers, Ioan Manolescu, Romain Panis.

Recent talks

Videos

List of recent talks