Title: Heterogeneous spreading in network models
Abstract: I will present some of our recent results on the random walks on networks with spatial and temporal heterogeneity. In particular, I will discuss how the influence of heterogeneities can be encoded into the dynamics of continuous time random walk model. Continuous limits of heterogeneous continuous time random walks can lead to various diffusion equations, which opens new questions about general description of spreading in heterogeneous media. Then I will talk about some applications of the heterogeneous random walk model to the epidemiological models on static or temporal networks and some potential applications to the real data.