论文标题
分支马尔可夫过程及其应用的脊柱分解
Spine decomposition for branching Markov processes and its applications
论文作者
论文摘要
在文献中，在每个人至少有一个孩子的假设下构建了分支马尔可夫过程的脊柱分解。在本文中，我们详细构建了一般分支马尔可夫过程的脊柱分解，允许当粒子死亡时无后代。然后，我们给出一些脊柱分解的应用。
In the literature, the spine decomposition of branching Markov processes was constructed under the assumption that each individual has at least one child. In this paper, we give a detailed construction of the spine decomposition of general branching Markov processes allowing the possibility of no offspring when a particle dies. Then we give some applications of the spine decomposition.
