Keywords: statistical mechanics, random graphs, random trees, Ising model, random cluster model, non-linear conductances, tree recursions, phase transitions...

Publications and Preprints

• I. Ayuso Ventura, Leandro Chiarini, Tyler Helmuth and Ellen Powell
  Imry-Ma phenomenon for the hard-core model on ℤ²,
  arXiv:2601.05798 [math.PR]
• I. Ayuso Ventura and Quentin Berger,
  Non-linear conductances of Galton-Watson trees and applications to the (near) critical random cluster model,
  to appear in Ann. Appl. Probab.,
  arXiv:2404.11564 [math.PR]
• I. Ayuso Ventura and Quentin Berger,
  Ising model on a Galton-Watson tree with a sparse random external field,
  Electron. J. Probab., Vol. 29, no 174 (2024) 43pp.
  [Journal] [arXiv]

Research Talks