Abstract
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 processesallowing the possibility of no offspring when a particle dies. Then we give some applications of the spine decomposition.
| Translated title of the contribution | Spine decomposition for branching Markov processes and its applications |
|---|---|
| Original language | Chinese (Traditional) |
| Pages (from-to) | 1819-1844 |
| Number of pages | 26 |
| Journal | Scientia Sinica Mathematica |
| Volume | 51 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2021 |
Keywords
- Branching Brownian motion
- Branching Hunt process
- Kesten-Stigum theorem
- Spine decomposition theorem
- Traveling wave solution
ASJC Scopus subject areas
- General Mathematics