Tag: Fractal
Island shapes show differing self-affine scaling
What the study found Earth's islands show different self-affine scaling behavior depending on the geometric feature measured. The authors report four Hurst exponent estimates, which are roughness measures for self-affine surfaces, and these estimates are sorted by increasing expected influence of coastal processes. Why the authors say this matters The study suggests that these patterns…
Hausdorff dimension computed for shrinking targets in affine systems
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in MathematicsWhat the study found The authors compute the Hausdorff dimension of a set of points that recur infinitely often to a shrinking target of geometric balls in certain affine iterated function systems. Their results apply to a representative class of affine systems made of a pair of diagonal affine maps. Why the authors say this…