Lianghui Luo

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math.PR2026

Upper moderate deviation probabilities for the maximum of a branching random walk

Louis Chataignier, Lianghui Luo

Consider $M_{n}$ the maximal position at generation $n$ of a supercritical branching random walk. Aïdékon (2013) obtained and described the convergence in law, as time $n$ goes to in…

math.PR2024

Upper deviation probabilities for level sets of a supercritical branching random walk

Shuxiong Zhang, Lianghui Luo

Given a supercritical branching random walk ${Z_{n}}_{n \geq 0}$ on $R$ , let $Z_{n} ([y, \infty))$ be the number of particles located in $[y, \infty) \subset R$ at genera…