Average distances on substitution trees

Lifeng Xi and Qianqian Ye

Physica A: Statistical Mechanics and its Applications, 2019, vol. 529, issue C

Abstract: In this paper, we construct a deterministic class of evolving self-similar trees in terms of initial directed tree. Using an integral on the self-similar fractal, we present the average geodesic distance on the fractal which is the limit of renormalized self-similar trees. We get the value of integral and thus obtain the asymptotic formula of average distances on self-similar trees.

Keywords: Substitution network; Average distance; Self-similar tree (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:529:y:2019:i:c:s0378437119309215

DOI: 10.1016/j.physa.2019.121556

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