2 papers
math.PR2026
The continuous Derrida-Retaux branching process in the Brownian CRT
Thomas Duquesne, Zhan Shi
The Derrida-Retaux continuous branching process, which is conjectured to be the scaling limit of the corresponding discrete model and of many other critical hierarchical renormaliz…
math.PR2025
Hipster random walks, random series-parallel graph and random homogeneous systems
Xinxing Chen, Thomas Duquesne, Zhan Shi
We study a class of random homogeneous systems. Our main result says that under suitable general assumptions, these systems converge weakly, upon a suitable normalization, to the p…