  A heterogeneous continuous time random walk is an analytical formalism for
studying and modeling diffusion processes in heterogeneous structures on
microscopic and macroscopic scales. In this paper we study both analytically
and numerically the effects of spatio-temporal heterogeneities onto the
diffusive dynamics on different types of networks. We investigate how the
distribution of the first passage time is affected by the global topological
network properties and heterogeneities in the distributions of the travel
times. In particular, we analyze transport properties of random networks and
define network measures based on the first-passage characteristics. The
heterogeneous continuous time random walk framework has potential applications
in biology, social and urban science, search of optimal transport properties,
analysis of the effects of heterogeneities or bursts in transportation
networks.
