Statistical topography. I: Fractal dimension of coastlines and number-area rule for islands

DOI10.1007/BF01238814zbMath0875.82039MaRDI QIDQ1322795

M. B. Isichenko, Jaan Kalda

Publication date: 9 June 1994

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

fractal dimensioncontinuum percolationcorrelated percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Transport processes in time-dependent statistical mechanics (82C70) Fractals (28A80) Time-dependent percolation in statistical mechanics (82C43)

Related Items

Multi-scale percolation and scaling laws for anisotropic turbulent diffusion ⋮ Percolation models of turbulent transport and scaling estimates ⋮ Statistical topography. II: Two-dimensional transport of a passive scalar

Cites Work

• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Statistical topography. II: Two-dimensional transport of a passive scalar
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