Authors: Dragović, Branko 
Missarov, Mukadas
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Random Triangles in a Metric Space of Sequences
Journal: P-Adic Numbers, Ultrametric Analysis, and Applications
Volume: 12
Issue: 2
First page: 171
Last page: 175
Issue Date: 1-Apr-2020
ISSN: 2070-0466
DOI: 10.1134/S2070046620020077
We investigate probabilistic properties of random triangles in the space of finite sequences with the Hamming metrics. As a triangle is understood any triple of points with distances between them. Probability measure is given by the classical way. In particular, it is shown that randomly chosen triangle is approximately equilateral with high probability. We also introduce a quantity that characterizes degree of “equilaterality” of triangles in the metric space in average.
Keywords: Hamming distance | random triangles | space of sequences
Publisher: Springer Link

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