2 papers
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…