Absolute continuity of complex martingales and of solutions to complex smoothing equations

DOI10.1214/18-ECP155zbMath1401.60068arXiv1804.02209OpenAlexW2963973388MaRDI QIDQ1990027

Ewa Damek, Sebastian Mentemeier

Publication date: 24 October 2018

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

Full work available at URL: https://arxiv.org/abs/1804.02209

zbMATH Keywords

characteristic functionbranching processabsolute continuitycomplex smoothing equation

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Characteristic functions; other transforms (60E10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuity and singularity of induced measures (60G30)

Related Items (3)

On conditioning a self-similar growth-fragmentation by its intrinsic area ⋮ Absolute continuity of the martingale limit in branching processes in random environment ⋮ On \(L^p\)-convergence of the Biggins martingale with complex parameter

Cites Work

• Convergence of complex martingales in the branching random walk: the boundary
• Uniform convergence of martingales in the branching random walk
• Asymptotic properties and absolute continuity of laws stable by random weighted mean.
• Solutions to complex smoothing equations
• Limit distributions for multitype branching processes of \(m\)-ary search trees
• Continuity of limit random variables in the branching random walk
• A Theorem on the Galton-Watson Process
• A limit theorem for a class of supercritical branching processes
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