Authors
Ningyuan Chen, Nelly Litvak, Mariana Olvera‐Cravioto
Publication date
2017/9
Journal
Random Structures & Algorithms
Volume
51
Issue
2
Pages
237-274
Description
This paper studies the distribution of a family of rankings, which includes Google's PageRank, on a directed configuration model. In particular, it is shown that the distribution of the rank of a randomly chosen node in the graph converges in distribution to a finite random variable that can be written as a linear combination of i.i.d. copies of the attracting endogenous solution to a stochastic fixed‐point equation of the form where is a real‐valued vector with , and the are i.i.d. copies of , independent of . Moreover, we provide precise asymptotics for the limit , which when the in‐degree distribution in the directed configuration model has a power law imply a power law distribution for with the same exponent. © 2016 Wiley Periodicals, Inc. Random Struct. Alg., 51, 237–274, 2017
Total citations
2017201820192020202120222023202425674898