Math @ Duke

Publications [#344820] of Matthew S Junge
Papers Published
 Dygert, B; Kinzel, C; Junge, M; Raymond, A; Slivken, E; Zhu, J, The bullet problem with discrete speeds,
Electronic Communications in Probability, vol. 24
(January, 2019) [doi]
(last updated on 2019/08/07)
Abstract: © 2019, Institute of Mathematical Statistics. All rights reserved. Bullets are fired from the origin of the positive real line, one per second, with independent speeds sampled uniformly from a discrete set. Collisions result in mutual annihilation. We show that a bullet with the second largest speed survives with positive probability, while a bullet with the smallest speed does not. This also holds for exponential spacings between firing times. Our results imply that the middlevelocity particle survives with positive probability in a twosided version of the bullet process with three speeds known to physicists as ballistic annihilation.


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