Pemantle's min-plus binary tree

Antonio Auffinger; Dylan Cable

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arXiv · 1709.07849

Pemantle's min-plus binary tree

Antonio Auffinger·Dylan Cable

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Abstract

We consider a stochastic process that describes several particles interacting by either merging or annihilation. When two particles merge, they combine their masses; when annihilation occurs, only the particle of smallest mass survives. Particles start at the bottom of a binary tree of depth N and move towards the root. Assuming that merging or annihilation happens independently at random, we determine the limit law of the final mass of the system in the large N limit.

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Antonio Auffinger, Dylan Cable. 2017-09-22. Pemantle's min-plus binary tree. https://arxiv.org/abs/1709.07849

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