Julien Barral, Yueyun Hu, Thomas Madaule, “The minimum of a branching random walk outside the boundary case”, Bernoulli, 24, № 2, 2018
V. A. Vatutin, V. Wachtel, “Sudden Extinction of a Critical Branching Process in a Random Environment”, Theory Probab. Appl., 54, № 3, 2010, 466
Wenming Hong, Shengli Liang, Xiaoyue Zhang, “Conditional $L^1$-Convergence for the Martingale of a Critical Branching Process in Random Environment”, Proc. Steklov Inst. Math., 316, № 1, 2022, 184
Elie Aïdékon, Zhan Shi, “Weak convergence for the minimal position in a branching random walk: A simple proof”, Period Math Hung, 61, № 1-2, 2010, 43
Yueyun Hu, “The Almost Sure Limits of the Minimal Position and the Additive Martingale in a Branching Random Walk”, J Theor Probab, 28, № 2, 2015, 467
Ion Grama, Émile Le Page, 208, Modern Problems of Stochastic Analysis and Statistics, 2017, 103
Владимир Алексеевич Ватутин, Vladimir Alekseevich Vatutin, “Совокупный размер популяции в критических ветвящихся процессах в случайной среде”, Матем. заметки, 91, № 1, 2012, 12
Quentin Berger, “Notes on random walks in the Cauchy domain of attraction”, Probab. Theory Relat. Fields, 175, № 1-2, 2019, 1
Jacopo Borga, “Asymptotic normality of consecutive patterns in permutations encoded by generating trees with one‐dimensional labels”, Random Struct Algorithms, 59, № 3, 2021, 339
Elena Perfilev, Vitali Wachtel, “Local asymptotics for the area under the random walk excursion”, Adv. Appl. Probab., 50, № 2, 2018, 600