1-stable fluctuation of the derivative martingale of branching random walk

Haojie Hou, Yan-Xia Ren and Renming Song

Stochastic Processes and their Applications, 2024, vol. 172, issue C

Abstract: In this paper, we study the functional convergence in law of the fluctuations of the derivative martingale of branching random walk on the real line. Our main result strengthens the results of Buraczewski et al. (2021) and is the branching random walk counterpart of the main result of Maillard and Pain (2019) for branching Brownian motion.

Keywords: Branching random walk; Derivative martingale; Spine decomposition (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spa.2024.104338

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