Chase-escape with conversion as a multiple sclerosis lesion model
Probability
2025-07-30 v1
Abstract
We introduce conversion to the stochastic process known as chase-escape in an effort to model aspects of inflammatory damage from multiple sclerosis. We prove monotonicity results for aggregate damage for the model on the positive integers, trees, stars, and the complete graph. Additionally, we establish the existence and asymptotic order of a phase transition on bounded degree graphs with a non-trivial site percolation threshold.
Cite
@article{arxiv.2507.21235,
title = {Chase-escape with conversion as a multiple sclerosis lesion model},
author = {Emma Bailey and Erin Beckman and Saraí Hernández-Torres and Matthew Junge and Aanjaneya Kumar and Ann Lee and Danny Li and tahda queer and Alisher Raufov and Lily Reeves and Omer Rondel},
journal= {arXiv preprint arXiv:2507.21235},
year = {2025}
}
Comments
21 pages, 7 figures