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Scaling Concepts in Graph Thoery: Self-Avoiding Walk on Fractal Complex Networks
[article]
2014
arXiv
pre-print
It was discovered a few years ago that many networks in the real world exhibit self-similarity. A lot of researches on the structures and processes on real and artificial fractal complex networks have been done, drawing an analogy to critical phenomena. However, the non-Markovian dynamics on fractal networks has not been understood well yet. We here study the self-avoiding walk on complex fractal networks through the mapping of the self-avoiding walk to the n-vector model by a generating
arXiv:1402.0953v1
fatcat:fozheibxavhzxbqcq6pfmycdym