Abstract
In this note we propose a two-spine decomposition of the critical Galton-Watson tree and use this decomposition to give a probabilistic proof of Yaglom’s theorem.
| Original language | English |
|---|---|
| Journal | Electronic Communications in Probability |
| Volume | 23 |
| DOIs | |
| Publication status | Published - 2018 |
| Externally published | Yes |
Keywords
- Galton-Watson process
- Galton-Watson tree
- Martingale change of measure
- Spine decomposition
- Yaglom’s theorem
Cite this
Ren, Y. X., Song, R., & Sun, Z. (2018). A 2-spine decomposition of the critical galton-watson tree and a probabilistic proof of yaglom’s theorem. Electronic Communications in Probability, 23. https://doi.org/10.1214/18-ECP143