Simulation of Mandelbrot's self-similarity for square site critical percolation clusters and random walks

Dietrich Stauffer

Physica A: Statistical Mechanics and its Applications, 1994, vol. 208, issue 1, 18-20

Abstract: Each site visited by a walker or occupied by an incipient infinite percolation cluster is surrounded by a neighborhood of size b. The total area within a square of size R covered by these neighborhoods then is found to obey self-similarity if 1 < < b < R < < L where L is the linear dimension of lattice or walk.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:208:y:1994:i:1:p:18-20

DOI: 10.1016/0378-4371(94)90530-4

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