Dynamical Models for Random Simplicial Complexes
Probability
2022-03-22 v3 Combinatorics
Abstract
We study a general model of random dynamical simplicial complexes and derive a formula for the asymptotic degree distribution. This asymptotic formula encompasses results for a number of existing models, including random Apollonian networks and the weighted random recursive tree. It also confirms results on the scale-free nature of Complex Quantum Network Manifolds in dimensions , and special types of Network Geometry with Flavour models studied in the physics literature by Bianconi, Rahmede [].
Cite
@article{arxiv.1910.12715,
title = {Dynamical Models for Random Simplicial Complexes},
author = {Nikolaos Fountoulakis and Tejas Iyer and Cécile Mailler and Henning Sulzbach},
journal= {arXiv preprint arXiv:1910.12715},
year = {2022}
}
Comments
53 pages (main body 45 pages), 4 figures. Accepted version, to appear in Annals of Applied Probability