English

Taylor's power law for the $N$-stars network evolution model

Probability 2020-01-10 v1

Abstract

Taylor's power law states that the variance function decays as a power law. It is observed for population densities of species in ecology. For random networks another power law, that is, the power law degree distribution is widely studied. In this paper the original Taylor's power law is considered for random networks. A precise mathematical proof is presented that Taylor's power law is asymptotically true for the NN-stars network evolution model.

Cite

@article{arxiv.2001.03023,
  title  = {Taylor's power law for the $N$-stars network evolution model},
  author = {István Fazekas and Csaba Noszály and Noémi Uzonyi},
  journal= {arXiv preprint arXiv:2001.03023},
  year   = {2020}
}

Comments

Published at https://doi.org/10.15559/19-VMSTA137 in the Modern Stochastics: Theory and Applications (https://vmsta.org/) by VTeX (http://www.vtex.lt/). arXiv admin note: text overlap with arXiv:1905.12449

R2 v1 2026-06-23T13:07:01.689Z