By Zhan SHI, Université Paris VI

I am going to discuss a few questions, with or without answers, about the free energy in a simplified model of depinning transition in the limit of strong disorder. The study, initiated by Derrida and Retaux in 2014, can also be formulated for an elementary percolation model on trees.

Joint work with Bernard Derrida, Nina Gantert and Yueyun Hu.