Abstract
In ballistic annihilation, infinitely many particles with randomly assigned velocities move across the real line and mutually annihilate upon contact. We introduce a variant with superimposed clusters of stationary particles, and provide a simple formula for the critical initial cluster density in terms of the mean and variance of the cluster size.
Funding Statement
Junge, Ortiz San Miguel, and Rivera Sánchez were partially supported by NSF grant DMS-2115936. Part of this research was completed during the 2022 Baruch College Discrete Math REU partially supported by NSF grant DMS-2051026.
Acknowledgments
We are grateful to L.P. Arguin and the anonymous referees for their helpful comments.
Citation
Matthew Junge. Arturo Ortiz San Miguel. Lily Reeves. Cynthia Rivera Sánchez. "Non-universality in clustered ballistic annihilation." Electron. Commun. Probab. 28 1 - 12, 2023. https://doi.org/10.1214/23-ECP529
