English

The frog model with death revisited

Probability 2025-10-22 v1

Abstract

We prove that the probability the frog model with death and drift on the dd-ary tree is recurrent can be made positive and thus is not monotone in the drift parameter.

Cite

@article{arxiv.2510.18792,
  title  = {The frog model with death revisited},
  author = {Samyah Ahmed and Matthew Junge},
  journal= {arXiv preprint arXiv:2510.18792},
  year   = {2025}
}

Comments

10 pages; 2 figures

R2 v1 2026-07-01T06:58:12.280Z