Dynamical models for random simplicial complexes
We study a general model of random dynamical simplicial complexes and derive a formula for the asymptotic degree distribution. This asymptotic formula generalises results for a number of existing models, including random Apollonian networks and the weighted random recursive tree. It also confirms re...
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| Veröffentlicht in: | The Annals of applied probability 2022-08, Vol.32 (4), p.2860 |
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| container_title | The Annals of applied probability |
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| creator | Fountoulakis, Nikolaos Iyer, Tejas Mailler, Cécile Sulzbach, Henning |
| description | We study a general model of random dynamical simplicial complexes and derive a formula for the asymptotic degree distribution. This asymptotic formula generalises 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 d > 2, and special types of network geometry with Flavour models studied in the physics literature by Bianconi and Rahmede [Sci. Rep. 5 (2015) 13979 and Phys. Rev. E 93 (2016) 032315]. |
| doi_str_mv | 10.1214/21-AAP1752 |
| format | Article |
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| subjects | Asymptotic methods Asymptotic properties Dynamic models Dynamical systems Flavors Mathematical models Random variables Random walk theory |
| title | Dynamical models for random simplicial complexes |
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