English

Ends of branching random walks on planar hyperbolic Cayley graphs

Probability 2015-01-20 v1

Abstract

We prove that the trace of a transient branching random walk on a planar hyperbolic Cayley graph has a.s. continuum many ends and no isolated end.

Keywords

Cite

@article{arxiv.1409.3443,
  title  = {Ends of branching random walks on planar hyperbolic Cayley graphs},
  author = {Lorenz A. Gilch and Sebastian Müller},
  journal= {arXiv preprint arXiv:1409.3443},
  year   = {2015}
}