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arXiv · 2012.03917

The fixed points of Branching Brownian Motion

Xinxin Chen·Christophe Garban·Atul Shekhar
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Abstract

In this work, we characterize all the point processes $\theta=\sum_{i\in \mathbb{N}} \delta_{x_i}$ on $\mathbb{R}$ which are left invariant under branching Brownian motions with critical drift $-\sqrt{2}$. Our characterization holds under the only assumption that $\theta(\mathbb{R}_+)<\infty$ almost surely.

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Xinxin Chen, Christophe Garban, Atul Shekhar. 2020-12-07. The fixed points of Branching Brownian Motion. https://arxiv.org/abs/2012.03917

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