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In , we compared Gnutella and the alternative routing algorithm with random walkers to a diffusion
experiment. Following Mandelbrot, we could imagine the diffusion of
Gnutella packets in the
dimensional spatial lattice. In a physics analogy, we could compare diffusion
speed of one node per unit of time to the speed of light in Euclidean space.
Finally, if we would relax the fixed length constraint on our edges (edge length
could be set at the temporal distance between two Gnutella nodes), we would
then embed Gnutella in a curved hyperspace!