Mathematical Analysis and Simulation of Information Diffusion on Networks

It is essential to consider the structure of information media in order to investigate the phenomena of information diffusion. As an example of continuous media, we consider on Euclidean spaces in the ordinary geometry. We also know information networks which have a variety of metric and structure in the space as another example of discrete media. In this work, we are faced the limit of mathematical analysis of nonlinear structure of information networks, then perform the Monte Carlo computer simulation using the proposed method.