Lower Deviation Probabilities for Level Sets of the Branching Random Walk

Given a supercritical branching random walk { Z n } n ≥ 0 on R , let Z n ( A ) be the number of particles located in a set A ⊂ R at generation n . It is known from Biggins (J Appl Probab 14:630–636, 1977) that under some mild conditions, for θ ∈ [ 0 , 1 ) , n - 1 log Z n ( [ θ x ∗ n , ∞ ) ) converge...

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Veröffentlicht in:	Journal of theoretical probability 2023-06, Vol.36 (2), p.811-844
1. Verfasser:	Zhang, Shuxiong
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Deviation Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes Random walk Statistics
Online-Zugang:	Volltext
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