2 papers
math-ph2020
The critical behaviors and the scaling functions of a coalescence equation
Xinxing Chen, Victor Dagard, Bernard Derrida +1
We show that a coalescence equation exhibits a variety of critical behaviors, depending on the initial condition. This equation was introduced a few years ago to understand a toy m…
math.PR2019
The Derrida--Retaux conjecture on recursive models
Xinxing Chen, Victor Dagard, Bernard Derrida +3
We are interested in the nearly supercritical regime in a family of max-type recursive models studied by Collet, Eckman, Glaser and Martin and by Derrida and Retaux, and prove that…