Localisation of optical modes in complex networks

Recently there has been a growing interest in the localisation phenomenon in complex networks. Localisation has been studied for disordered lattices, fractal lattices, Cayley trees, small-world networks, random graphs, Erdos-Renyi graphs, and scale-free networks. These studies provide new insights into long-standing questions pertaining to localisation, such as its upper critical dimension. The study of localisation on complex networks opens a new class of experimental systems, the optical networks, as a testbed for these ideas. Complex networks are also relevant to the study of new and exciting ideas in many-particle interacting systems such as Fock-space localisation.