# The phase structure of asymmetric ballistic annihilation

@article{Junge2018ThePS, title={The phase structure of asymmetric ballistic annihilation}, author={Matthew Junge and Hanbaek Lyu}, journal={arXiv: Probability}, year={2018} }

In ballistic annihilation, particles are placed throughout the real line with independent spacings and each is assigned a velocity. The particles then move at their assigned velocity and annihilate upon colliding. We develop a framework based on a mass transport principle to analyze the three-velocity case with arbitrary spacings, velocities, and weights. Our main theorem establishes the existence of a phase transition for all such systems, and provides an almost complete description for where… CONTINUE READING

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## Combinatorial universality in three-speed ballistic annihilation

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