Convergence of complex martingales in the branching random walk: the boundary

DOI10.1214/17-ECP50zbMath1359.60105arXiv1611.05220MaRDI QIDQ512974

Matthias Meiners, Konrad Kolesko

Publication date: 3 March 2017

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

Full work available at URL: https://arxiv.org/abs/1611.05220

zbMATH Keywords

branching random walkcomplex martingales

Mathematics Subject Classification ID

Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

Large and moderate deviations for a -valued branching random walk with a random environment in time ⋮ The phase diagram of the complex branching Brownian motion energy model ⋮ Absolute continuity of complex martingales and of solutions to complex smoothing equations ⋮ Fluctuations of Biggins' martingales at complex parameters ⋮ Convergence of complex martingale for a branching random walk in an independent and identically distributed environment ⋮ Convergence of complex martingale for a branching random walk in a time random environment ⋮ On \(L^p\)-convergence of the Biggins martingale with complex parameter

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