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- W2006819174 abstract "We investigate the probabilities for a return to the origin at step n of a random walker on a finite lattice. As a consistent measure only the first returns to the origin appear to be of relevance; these include paths with self-intersections and self-avoiding polygons. Their return probabilities are power-law distributed giving rise to 1/fb noise. Most striking is the behavior of the self-avoiding polygons exhibiting a slope b=0.83 for d=2 and b=0.93 for d=3 independent on lattice structure." @default.
- W2006819174 created "2016-06-24" @default.
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- W2006819174 date "2004-09-01" @default.
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- W2006819174 title "RANDOM WALKS, SELF-AVOIDING WALKS AND 1/f NOISE ON FINITE LATTICES" @default.
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- W2006819174 doi "https://doi.org/10.1142/s0219477504002117" @default.
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