https://doi.org/10.1140/epjb/e2004-00383-6
An ε-expansion for small-world networks
T-13 and Center for Nonlinear Studies, Los Alamos National
Laboratory, Los Alamos, NM 87545, USA
Corresponding author: a hastings@lanl.gov
Received:
28
July
2004
Published online:
14
December
2004
I construct a well-defined expansion in 
for
diffusion processes on small-world networks. The technique permits
one to calculate the average over disorder of moments of the Green's
function, and is used to calculate the average Green's function and
fluctuations
to first non-leading order in ϵ, giving results which agree with
numerics. This technique is also applicable
to other problems of diffusion in random media.
64.60.Ak Renormalization-group studies of phase transitions
PACS: 89.75.Hc – Networks and genealogical trees
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
