Internet examples

Data traffic on the net is not homogeneous. To avoid data congestion (packets coming to a hub exceed packet outflow and buffer size), control protocols vary the packet rate along some paths. In data traffic, the past does influence the future.
Self-similar distributions suffice to describe LAN (local area network) traffic, but wide area network and transmission control protocol traffic are multifractal.
Multifractals are no surprise: data traffic splits unevely among subnets.
Some amazing graphical representations of net structure and dynamics are here
http://www.caida.org/tools/visualization/walrus/gallery1/

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