research interest:

Theme: Probability, statistical mechanics.
Keywords: Bernoulli bond percolation (time constant, isoperimetry), First passage percolation (maximal flow, minimal cutset, maximal stream), Boolean percolation (sharpness of phase transition).

Published/accepted papers:

  • The time constant is Lipschitz continuous strictly above p_c with Raphaël Cerf, Annals of Probability, 50(5) 1781-1812, 2022.
  • Regularity of the time constant for a supercritical Bernoulli percolation, ESAIM: PS, 25 (2021) 109-132
  • Vanishing of the Anchored isoperimetric profile in bond percolation at p_c with Raphaël Cerf, Electronic Communications in Probability Volume 25, paper no. 2 , 2020
  • Existence of the anchored isoperimetric profile in supercritical bond percolation in dimension two and higher ALEA (17), 2020
  • The maximal flow from a compact convex subset to infinity in first passage percolation on Zd, The Annals of Probability, (48), 2020
  • Size of a minimal cutset in supercritical first passage percolation with Marie Théret, Annales de l'Institut Henri Poincaré : Probabilités et statistiques, (56), 2020.
  • Anchored isoperimetric profile of the infinite cluster in supercritical bond percolation is Lipschitz continuous, Electronic Communications in Probability Volume 25, paper no. 34 , 2020

    • Preprints:

  • On the upper tail large deviation rate function for chemical distance in supercritical percolation with Shuta Nakajima, preprint 2022 (39 pages).
  • Almost sharp sharpness for Poisson Boolean percolation with Vincent Tassion, preprint 2022 (33 pages).
  • Coalescence of geodesics and the BKS midpoint problem in planar first-passage percolation with Dor Elboim and Ron Peled, preprint 2022 (46 pages).
  • The variance of the graph distance in the infinite cluster of percolation is sublinear, preprint 2022 (12 pages).
  • Large deviation principle for the cutsets and lower large deviation principle for the maximal flow in first passage percolation with Marie Théret, preprint 2021 (65 pages).
  • Large deviation principle for the streams and the maximal flow in first passage percolation with Marie Théret, preprint 2020 (99 pages).