Publications in this field
transport paths have closed relationships with fractals.
instance, we may combine the ideas of optimal transport paths
with DLA (diffusion limited aggregation) by setting the
a new particle sticking to the already formed cluster to be a number
which is inversely proportional to the
additional transportation cost from the sticking position to the source
existing transport system hidden in the cluster. Then, by
changing the parameter alpha as in the theory of optimal transport
paths, we get a family of clusters with full range of fractal dimensions ranging
from 1 to 2. The
ordinary DLA corresponds to the case alpha=0 with dimension around 1.7.