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

Published 21 Dec 2023 in math.PR, math-ph, and math.MP | (2312.13811v1)

Abstract: We obtain in this work a sharp estimate on the left tail of the distribution of the so-called derivative martingale in the $L4$ phase, answering a conjecture by H. Lacoin, R. Rhodes & V. Vargas in the framework of the Gaussian branching random walk.

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