Regular variation in the branching random walk

• Date: 2006
• Main Authors: Iksanov, A., Polotskiy, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4440
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Regular variation in the branching random walk / A. Iksanov, S. Polotskiy // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 38–54. — Бібліогр.: 25 назв.— англ.

initial ancestor located at the origin of the real line. For n = 0, 1, . . . , let Wn be the moment generating function of Mn normalized by its mean. Denote by AWn any of the following random variables: maximal function, square function, L1 and a.s. limit W, supn≥0 |W − Wn|, supn≥0 |Wn+1 − Wn|. Un...