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math.PR2026
Imry-Ma phenomenon for the hard-core model on
Irene Ayuso Ventura, Leandro Chiarini, Tyler Helmuth +1
The \emph{Imry-Ma phenomenon} refers to the dramatic effect that disorder can have on first-order phase transitions for two-dimensional spin systems. The most famous example is the…
math.PR2025
Non-linear conductances of Galton-Watson trees and application to the (near) critical random cluster model
Irene Ayuso Ventura, Quentin Berger
In this article, we study concave recursions on trees, which appear widely in information theory through algorithms such as belief propagation, and in statistical mechanics through…
math.PR2024
Ising model on a Galton-Watson tree with a sparse random external field
Irene Ayuso Ventura, Quentin Berger
We consider the Ising model on a supercritical Galton-Watson tree of depth with a sparse random external field, given by a collection of i.i.d. Bernouilli random…