title: Diffusion processes on power-law small-world networks.
abstract: We consider diffusion processes on power-law small-world networks in different dimensions. In one dimension, we find a rich phase diagram, with different transient and recurrent phases, including a critical line with continuously varying exponents. The results were obtained using self-consistent perturbation theory and can also be understood in terms of a scaling theory, which provides a general framework for understanding processes on small-world networks with different distributions of long-range links.
authors.affiliation: Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, 110 8th Street, Troy, New York 12180-3590, USA.
authors.forename: Balázs
authors.initials: B
authors.lastname: Kozma
authors.forename: Matthew B
authors.initials: MB
authors.lastname: Hastings
authors.forename: G
authors.initials: G
authors.lastname: Korniss