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.

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. Analyticity of the correlation length in subcritical FK-percolation and Potts models, with Loïc Gassmann.
    Submitted (38 pages). [arXiv]
  2. Uniform analyticity of local observables in FK-percolation and analyticity of the Ising spontaneous magnetisation, with Loïc Gassmann.
    Submitted (27 pages). [arXiv]
  3. Free energy analyticity of the disordered XY model and Debye screening in the 2D Coulomb gas, with Piet Lammers.
    Submitted (36 pages). [arXiv]
  4. Near critical Ornstein–Zernike theory for the planar random cluster model, with Ioan Manolescu.
    in Communications in Mathematical Physics, Vol. 407, paper no. 224 (2026). [arXiv, journal]
  5. 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]
  6. 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