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连续态非线性内韦乌分支过程的边界行为

IF 0.8 3区 数学 Q2 MATHEMATICS
Acta Mathematica Sinica-English Series Pub Date : 2024-07-10 DOI:10.1007/s10114-024-2741-x
Lin Yu Bai, Xu Yang
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引用次数: 0

摘要

通过推广陈木法关于马尔可夫跳跃过程的标准，我们建立了连续态非线性内韦乌分支过程消亡、爆炸和从无穷大下降的必要条件和充分条件。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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Boundary Behaviors for a Continuous-state Nonlinear Neveu’s Branching Process

By generalizing a criterion of Mufa Chen for Markov jump processes, we establish the necessary and sufficient conditions for the extinction, explosion and coming down from infinity of a continuous-state nonlinear Neveu’s branching process.

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来源期刊
Acta Mathematica Sinica-English Series
Acta Mathematica Sinica-English Series 数学-数学
CiteScore
1.00
自引率
0.00%
发文量
138
审稿时长
14.5 months
期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.
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