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arXiv · 1803.02136

Limit distribution of the quartet balance index for Aldous's b>=0-model

Krzysztof Bartoszek
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Abstract

This paper builds up on T. Martinez-Coronado, A. Mir, F. Rossello and G. Valiente's work "A balance index for phylogenetic trees based on quartets", introducing a new balance index for trees. We show here that this balance index, in the case of Aldous's b>=0-model, convergences weakly to a distribution that can be characterized as the fixed point of a contraction operator on a class of distributions.

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Krzysztof Bartoszek. 2019-08-30. Limit distribution of the quartet balance index for Aldous's b>=0-model. https://doi.org/10.4064/am2385-6-2019

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