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math.PR2020
The stable Derrida--Retaux system at criticality
Xinxing Chen, Zhan Shi
The Derrida--Retaux recursive system was investigated by Derrida and Retaux (2014) as a hierarchical renormalization model in statistical physics. A prediction of Derrida and Retau…
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…