3 papers
math.PR2024
Derrida-Retaux type models and related scaling limit theorems
Zenghu Li, Run Zhang
We give characterizations of the transition semigroup and generator of a continuous-time Derrida--Retaux type process that generalizes the one introduced by Hu, Mallein and Pain (C…
math.PR2024
Asymptotic behavior of the generalized Derrida-Retaux recursive model
Zenghu Li, Run Zhang
We study the max-type recursive model introduced by Hu and Shi (J. Stat. Phys., 2018), which generalizes the model of Derrida and Retaux (J. Stat. Phys., 2014). The class of geomet…
math.PR2024
Uniqueness Problem for the Backward Differential Equation of a Continuous-State Branching Process
Pei-Sen Li, Zenghu Li
The distributional properties of a multi-dimensional continuous-state branching process are determined by its cumulant semigroup, which is defined by the backward differential equa…