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

Autor: Schoug, Lukas
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 18 pages, 3 figures. Final version, to appear in Markov Processes and Related Fields
Databáze: arXiv