Scaling properties of a random Yule tree embedded in $\mathbb{R}^{\mathfrak{D}}$
Probability
2024-06-25 v2
Abstract
We study a random tree, which was introduced by Ajazi et al. as part of a model of a neuronal network. Realising a scaling relation for the law of the tree, we can use elementary techniques to derive asymptotic results on the geometry as time goes to infinity.
Keywords
Cite
@article{arxiv.2312.05182,
title = {Scaling properties of a random Yule tree embedded in $\mathbb{R}^{\mathfrak{D}}$},
author = {Lukas Schoug},
journal= {arXiv preprint arXiv:2312.05182},
year = {2024}
}
Comments
18 pages, 3 figures. Final version, to appear in Markov Processes and Related Fields