Back to Search
Start Over
Critical Multi-Type Galton-Watson Trees Conditioned to be Large
- Publication Year :
- 2015
-
Abstract
- Under minimal condition, we prove the local convergence of a critical multi-type Galton-Watson tree conditioned on having a large total progeny by types towards a multi-type Kesten's tree. We obtain the result by generalizing Neveu's strong ratio limit theorem for aperiodic random walks on Z^d .
- Subjects :
- Mathematics - Probability
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1511.01721
- Document Type :
- Working Paper