论文标题
在不同环境中建造连续国家的分支过程
Construction of continuous-state branching processes in varying environments
论文作者
论文摘要
在不同环境中的连续状态分支过程是由通路式的唯一解决方案构建的，该解决方案是由时间空间噪声驱动的随机积分方程。该过程自然出现在Galton的极限定理中 - Watson过程在Bansaye和Simatos（2015）建立的不同环境中。就随机方程式而言，我们阐明了连续状态过程在其瓶颈上的行为，这是它几乎肯定会因负跳而到达零的时代。
A continuous-state branching process in varying environments is constructed by the pathwise unique solution to a stochastic integral equation driven by time-space noises. The process arises naturally in the limit theorem of Galton--Watson processes in varying environments established by Bansaye and Simatos (2015). In terms of the stochastic equation we clarify the behavior of the continuous-state process at its bottlenecks, which are the times when it arrives at zero almost surely by negative jumps.
