A revisited proof of the Seneta-Heyde norming for branching random walks under optimal assumptions

DOI10.1214/19-EJP350zbMath1466.60172arXiv1902.05330OpenAlexW3104121459MaRDI QIDQ2274221

Pascal Maillard, Pierre Boutaud

Publication date: 19 September 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05330

zbMATH Keywords

random walkpotential kernelbranching random walkderivative martingaleSeneta-Heyde norming\(L \log L\) condition

Mathematics Subject Classification ID

Convergence of probability measures (60B10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Boundary theory for Markov processes (60J50)

Related Items (4)

Heavy range of the randomly biased walk on Galton-Watson trees in the slow movement regime ⋮ Box-counting dimension in one-dimensional random geometry of multiplicative cascades ⋮ Derivative martingale of the branching Brownian motion in dimension \(d\ge 1\) ⋮ Total number of births on the negative half-line of the binary branching Brownian motion in the boundary case

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