Dynamics of Users Activity on Web-Blogs

Abstract

Activity of users on Internet discussion forums is analyzed. The rank of users is shown to be approximated better by stretched-exponential function than by the Zipf law. Cumulative distribution function is found as an excellent tool in analysis of the dynamics of the collective social phenomena. We are able to approximate the number of blog comments with time by simple sigmoidal functions: probability of posting a comment is given by P (t) = P0(t)/[1 + P0(t)], where P0(t) = (t/t0) β and β is close to 1.