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arXiv · 2608.23202

Locally finite fixed points of branching Brownian motion

Xinxin Chen·Arnab Chowdhury·Atul Shekhar·Shuo Zhu
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Abstract

We give a full characterization of the fixed points of Branching Brownian motion with critical and supercritical drifts under no additional assumptions besides it being locally finite almost surely. In particular, we do not assume finite intensity (Kabluchko, 2012) or the finite top particle (Chen-Garban-Shekhar, 2023) conditions. We also give a full characterization of the domain of attraction of the fixed points of BBM.

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Xinxin Chen, Arnab Chowdhury, Atul Shekhar, Shuo Zhu. 2026-08-24. Locally finite fixed points of branching Brownian motion. https://arxiv.org/abs/2608.23202

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