Characterising stationary states in exclusion processes on networks
Résumé
The notion of networks arises naturally in many problems: transmission of information, road networks, cytoskeletal transport and gene regulation are timely examples. It is often useful to envisage two complementary aspects defining these systems, rules for transmission/propagation on one hand and network topology on the other hand. We generalise a simple class of models, so-called 'exclusion processes', to networks. We outline how to solve for stationary states and provide a method to characterise these stationary states in a simple but quantifiable way. Such 'effective rate plots' will be seen to prove particularly useful for gaining intuition on the essence of these states and on the effect of the network structure.