Geodesic
Limit distribution of the quartet balance index for Aldous’s $(\beta \ge 0)$-model
Krzysztof Bartoszek1
1 Department of Computer and Information Science Linköping University Linköping 581 83, Sweden ORCID: 0000-0002-5816-4345
Applicationes Mathematicae, Tome 47 (2020) no. 1, pp. 29-44.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper builds on T. Martínez-Coronado, A. Mir, F. Rosselló and G. Valiente’s 2018 work, introducing a new balance index for trees. We show that this balance index, in the case of Aldous’s $(\beta \ge 0)$-model, converges weakly to a distribution that can be characterized as the fixed point of a contraction operator on a class of distributions.
DOI : 10.4064/am2385-6-2019
Keywords: paper builds mart nez coronado mir nbsp rossell valiente work introducing balance index trees balance index aldous beta model converges weakly distribution characterized fixed point contraction operator class distributions

Krzysztof Bartoszek 1

1 Department of Computer and Information Science Linköping University Linköping 581 83, Sweden ORCID: 0000-0002-5816-4345 
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Krzysztof Bartoszek. Limit distribution of the quartet balance index for Aldous’s $(\beta \ge 0)$-model. Applicationes Mathematicae, Tome 47 (2020) no. 1, pp. 29-44. doi : 10.4064/am2385-6-2019. http://geodesic.mathdoc.fr/articles/10.4064/am2385-6-2019/

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