Dimer model: dynamics and scaling limits

Fabio Toninelli


Team:

Subproject Leader: Fabio Toninelli

PostDoc: Orphee Colin, Henry Giles

PhD: Quentin Moulard


Results:

  • Convergence of dynamical stationary fluctuations.
    Cyril Labbé, Benoît Laslier, Fabio Toninelli, Lorenzo Zambotti
    to appear in Annales Henri Lebesgue, arXiv:2404.18803 (associated to Project 9)
  • Superdiffusive Central Limit Theorem for the Stochastic Burgers Equation at the critical dimension
    Giuseppe Cannizzaro, Quentin Moulard, Fabio Toninelli
    arXiv:2501.00344 (associated to Project 9)
  • Dimers with layered disorder
    Fabio Toninelli, Quentin Moulard
    arXiv:2507.11964 (associated to Project 9)
  • Superdiffusive central limit theorem for a class of driven diffusive systems at the critical dimension
    Giuseppe Cannizzaro, Tom Klose, Quentin Moulard
    arXiv:2601.05945 (associated to Project 9)
  • Further results on the free energy of the random field Ising chain in the case of centered disorder
    Orphée Collin
    arXiv:2511.18912 (associated to Project 9) 
  • Mixing times for Glauber dynamics of lozenge tilings of the hexagon
    Amol Aggarwal, Fabio Toninelli
    arXiv:2605.26664 (associated to Project 9)
  • Random interlacements on transient weighted graphs: 0-1 laws and FKG inequality 
    Orphée Collin
    arXiv:2603.10896 (associated to Project 9)