English

Survival Probabilities for N-ary Subtrees on a Galton-Watson Family Tree

Probability 2008-03-04 v2

Abstract

The family tree of a Galton-Watson branching process may contain N-ary subtrees, i.e. subtrees whose vertices have at least N>0 children. For family trees without infinite N-ary subtrees, we study how fast N-ary subtrees of height t disappear as t goes to infinity.

Keywords

Cite

@article{arxiv.0706.1904,
  title  = {Survival Probabilities for N-ary Subtrees on a Galton-Watson Family Tree},
  author = {Ljuben Mutafchiev},
  journal= {arXiv preprint arXiv:0706.1904},
  year   = {2008}
}

Comments

9 pages, no figures