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Free, publicly-accessible full text available February 24, 2026
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Affeld, Kimberly; Dean, Christian; Junge, Matthew; Lyu, Hanbaek; Panish, Connor; Reeves, Lily (, Journal of Statistical Physics)In coalescing ballistic annihilation, infinitely many particlesmove with fixed velocities across the real line and, upon colliding, either mutually annihilate or generate a new particle. We compute the critical density in symmetric three-velocity systems with four-parameter reaction equations.more » « less
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Benitez, Luis; Junge, Matthew; Lyu, Hanbaek; Redman, Maximus; Reeves, Lily (, Electronic Journal of Probability)Three-velocity ballistic annihilation is an interacting system in which stationary, left-, and right-moving particles are placed at random throughout the real line and mutually annihilate upon colliding. We introduce a coalescing variant in which collisions may generate new particles. For a symmetric three-parameter family of such systems, we compute the survival probability of stationary particles at a given initial density. This allows us to describe a phase-transition for stationary particle survival.more » « less
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Bahl, Riti; Eikmeier, Nicole; Fraser, Alexandra; Junge, Matthew; Keesing, Felicia; Nakahata, Kukai; Reeves, Lily (, PLOS ONE)Gallos, Lazaros K. (Ed.)We develop an agent-based model on a network meant to capture features unique to COVID-19 spread through a small residential college. We find that a safe reopening requires strong policy from administrators combined with cautious behavior from students. Strong policy includes weekly screening tests with quick turnaround and halving the campus population. Cautious behavior from students means wearing facemasks, socializing less, and showing up for COVID-19 testing. We also find that comprehensive testing and facemasks are the most effective single interventions, building closures can lead to infection spikes in other areas depending on student behavior, and faster return of test results significantly reduces total infections.more » « less
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