Emergent user behavior on Twitter modelled by a stochastic differential equation
Physics and Society
2015-05-22 v1 Social and Information Networks
Abstract
Data from the social-media site, Twitter, is used to study the fluctuations in tweet rates of brand names. The tweet rates are the result of a strongly correlated user behavior, which leads to bursty collective dynamics with a characteristic 1/f noise. Here we use the aggregated "user interest" in a brand name to model collective human dynamics by a stochastic differential equation with multiplicative noise. The model is supported by a detailed analysis of the tweet rate fluctuations and it reproduces both the exact bursty dynamics found in the data and the 1/f noise.
Keywords
Cite
@article{arxiv.1502.03224,
title = {Emergent user behavior on Twitter modelled by a stochastic differential equation},
author = {Anders Mollgaard and Joachim Mathiesen},
journal= {arXiv preprint arXiv:1502.03224},
year = {2015}
}