Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Bailey, Emma, Beckman, Erin, Hernández-Torres, Saraí, Junge, Matthew, Kumar, Aanjaneya, Lee, Ann, Li, Danny, queer, tahda, Raufov, Alisher, Reeves, Lily, Rondel, Omer
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6929680363
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