• Corpus ID: 233296078

# Rankings in directed configuration models with heavy tailed in-degrees

```@article{Cai2021RankingsID,
title={Rankings in directed configuration models with heavy tailed in-degrees},
author={Xing Shi Cai and Pietro Caputo and Guillem Perarnau and Matteo Quattropani},
journal={ArXiv},
year={2021},
volume={abs/2104.08389}
}```
• Published 16 April 2021
• Mathematics
• ArXiv
We consider the extremal values of the stationary distribution of sparse directed random graphs with given degree sequences and their relation to the extremal values of the in-degree sequence. The graphs are generated by the directed configuration model. Under the assumption of bounded (2 + η)-moments on the in-degrees and of bounded out-degrees, we obtain tight comparisons between the maximum value of the stationary distribution and the maximum in-degree. Under the further assumption that the…
5 Citations

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