Speaker：Xinxing Chen (Shanghai Jiao Tong University)

Time：2024-11-9, 14:00

Location：Conference Room 105 at Experiment Building at Haiyun Campus

Abstract:

We are interested in the nearly supercritical regime in a family of max-type recursive models studied by Derrida and Retaux (2014), and prove that under a suitable integrability assumption on the initial distribution, the free energy vanishes at the transition with an essential singularity with exponent 1/2. This gives a weaker answer to a conjecture of Derrida and Retaux (2014). Other behaviours are obtained when the integrability condition is not satisfied.