Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 969087, 7 pages
http://dx.doi.org/10.1155/2012/969087
Research Article

Power-Law Properties of Human View and Reply Behavior in Online Society

1State Key Lab of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China
2School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
3Information Security Center, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received 11 February 2012; Accepted 26 March 2012

Academic Editor: Ming Li

Copyright © 2012 Ye Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Statistical properties of the human comment behavior are studied using data from “Tianya” and “Tieba” which are very popular online social systems (or forums) in China. We find that both the reply number R and the view number V of a thread in a subforum obey the power-law distributions P(R)=Rα and P(V)Vβ, respectively, which indicates that there exists a kind of highly popular topics. These topics should be specially paid much attention, because they play an important role in the public opinion formation and the public opinion control. In addition, the relationship between R and V also obeys the power-law function RVγ. Based on the human comment habit, a model is introduced to explain the human view and reply behaviors in the forum. Numerical simulations of the model fit well with the empirical results. Our findings are helpful for discovering collective patterns of human behaviors and the evolution of public opinions on the virtual society as well as the real one.