Yueyun Hu
Title: Derrida Retaux Model

Abstract: In order to study the depinning transition in presence of strong disorder, Derrida and Retaux (J. Stat. Phys. (2014)) introduced a discrete-time max-type recursive model. It is believed that for a large class of recursive models, including the Derrida and Retaux model, there are highly non-trivial universalities at and near the critical regimes. In this mini-course, we will review some recent results and open questions on this model, as well as a continuous time model for which we study a solvable case and con rme the corresponding conjectures.
The mini course is based on joint works with Xinxing Chen, Victor Dagard, Bernard Derrida, Mikhail Lifshits, and Zhan Shi on the discrete-time model and with Bastien Mallein and Michel Pain on the continuous time model.