Scaling properties of a random Yule tree embedded in $\mathbb{R}^{\mathfrak{D}}$

Lukas Schoug

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arXiv · 2312.05182

Scaling properties of a random Yule tree embedded in $\mathbb{R}^{\mathfrak{D}}$

Lukas Schoug

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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.

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Lukas Schoug. 2023-12-08. Scaling properties of a random Yule tree embedded in $\mathbb{R}^{\mathfrak{D}}$. https://arxiv.org/abs/2312.05182

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