On a ternary coalescent process

Erich Baur

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arXiv · 1301.0409

On a ternary coalescent process

Erich Baur

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Abstract

We present a coalescent process where three particles merge at each coagulation step. Using a random walk representation, we prove duality with a fragmentation process, whose fragmentation law we specify explicitly. Furthermore, we give a second construction of the coalescence in terms of random binary forests and study asymptotic properties. Starting from N particles of unit mass, we obtain under an appropriate rescaling when N tends to infinity a well-known binary coalescence, the so-called standard additive coalescent.

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Erich Baur. 2013-01-03. On a ternary coalescent process. https://arxiv.org/abs/1301.0409

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