Probability and Mathematical Physics Seminar

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Derrida-Retaux model: from discrete to continuous time

Speaker: Michel Pain, NYU Courant Institute

Location: Warren Weaver Hall 1302

Date: Friday, September 27, 2019, 11:10 a.m.

Synopsis:

Derrida-Retaux model is a simple hierarchical renormalization model, originally introduced by Collet et al., that leads to many surprisingly tough questions. Some of them have been solved recently, but many others are still open. In order to answer these questions, with Yueyun Hu and Bastien Mallein, we introduced a continuous-time version of the model, which yields an exactly solvable family of solutions. We will discuss the results obtained on this model, focusing on the behavior at criticality, where a growth-fragmentation process appears as scaling limit.