Chase-escape with death on trees
Probability
2021-12-30 v3 Combinatorics
Abstract
Chase-escape is a competitive growth process in which red particles spread to adjacent uncolored sites, while blue particles overtake adjacent red particles. We introduce the variant in which red particles die and describe the phase diagram for the resulting process on infinite d-ary trees. A novel connection to weighted Catalan numbers makes it possible to characterize the critical behavior.
Cite
@article{arxiv.1909.01722,
title = {Chase-escape with death on trees},
author = {Erin Beckman and Keisha Cook and Nicole Eikmeier and Sarai Hernandez-Torres and Matthew Junge},
journal= {arXiv preprint arXiv:1909.01722},
year = {2021}
}
Comments
18 pages, 3 figures