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- W2331198542 abstract "A new fractal subset of random surfaces, the oceanic coastline, is defined. For Gaussian surfaces with negative Hurst exponent (H<0), oceanic coastlines are mapped to the percolation clusters of the (correlated) percolation problem. In the case of rough self-affine surfaces (H≥0), the fractal dimension of the oceanic coastline dc is calculated via Monte Carlo simulations as a function of the exponent H. For H=0, the result dc≈1.896 coincides with the analytic value for the percolation problem (91/48), suggesting a super-universality of dc for the correlated percolation problem." @default.
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- W2331198542 date "2008-11-01" @default.
- W2331198542 modified "2023-10-14" @default.
- W2331198542 title "Statistical topography of rough surfaces: “Oceanic coastlines” as generalizations of percolation clusters" @default.
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- W2331198542 doi "https://doi.org/10.1209/0295-5075/84/46003" @default.
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