@article{3bfe3c635c39453bba2c9ab378feb79b,
title = "Uniqueness Problem for the Backward Differential Equation of a Continuous-State Branching Process",
abstract = "The distributional properties of a multi-dimensional continuous-state branching process are determined by its cumulant semigroup, which is defined by the backward differential equation. We provide a proof of the assertion of Rhyzhov and Skorokhod (Theory Probab. Appl., 1970) on the uniqueness of the solutions to the equation, which is based on a characterization of the process as the pathwise unique solution to a system of stochastic equations.",
keywords = "60H20, 60J80, Continuous-state branching process, backward differential equation, generator, multi-dimensional, stochastic equation",
author = "Li, {Pei Sen} and Li, {Zeng Hu}",
note = "Publisher Copyright: {\textcopyright} Springer-Verlag GmbH Germany & The Editorial Office of AMS 2024.",
year = "2024",
month = aug,
doi = "10.1007/s10114-024-3107-0",
language = "English",
volume = "40",
pages = "1825--1836",
journal = "Acta Mathematica Sinica, English Series",
issn = "1439-8516",
publisher = "Springer Verlag",
number = "8",
}