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arXiv · 2312.13811

The left tail of the subcritical derivative martingale in a branching random walk

Benjamin Bonnefont·Vincent Vargas
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Abstract

We obtain in this work a sharp estimate on the left tail of the distribution of the so-called derivative martingale in the $L^4$ phase, answering a conjecture by H. Lacoin, R. Rhodes & V. Vargas in the framework of the Gaussian branching random walk.

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BibTeXRIS

Benjamin Bonnefont, Vincent Vargas. 2023-12-21. The left tail of the subcritical derivative martingale in a branching random walk. https://arxiv.org/abs/2312.13811

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