On the law of terminal value of additive martingales in a remarkable branching stable process
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Publication:2689903
DOI10.1016/j.spa.2023.01.005OpenAlexW4313681224MaRDI QIDQ2689903
Publication date: 14 March 2023
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.11473
Martingales with continuous parameter (60G44) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Cites Work
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- The functional equation of the smoothing transform
- Fixed points of the smoothing transform: the boundary case
- A log-type moment result for perpetuities and its application to martingales in supercritical branching random walks
- On tails of fixed points of the smoothing transform in the boundary case
- Uniform convergence of martingales in the branching random walk
- Seneta-Heyde norming in the branching random walk
- On generalized multiplicative cascades
- Asymptotic properties and absolute continuity of laws stable by random weighted mean.
- Fixed points of the smoothing transform: two-sided solutions
- Biggins' martingale convergence for branching Lévy processes
- A simple method to find all solutions to the functional equation of the smoothing transform
- Self-decomposable laws from continuous branching processes
- Stochastic Models with Power-Law Tails
- Continuity of limit random variables in the branching random walk
- DUALITY FOR REGULARLY VARYING FUNCTIONS
- Martingale convergence in the branching random walk
- Fixed points of a generalized smoothing transformation and applications to the branching random walk
- A result on power moments of L\'evy-type perpetuities and its application to the $L_p$-convergence of Biggins' martingales in branching L\'evy processes
- Fixed points of the smoothing transformation
- Branching-stable point measures and processes
- Smile Asymptotics II: Models with Known Moment Generating Functions
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