Introduction to Lacunarity
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|Lacunarity is a counterpart to the fractal dimension, and describes the degree of gappiness of a fractal. It is strongly related to the size distribution of the holes on the fractal and to its deviation from translational invariance; roughly speaking, a fractal is very lacunar if its holes tend to be large, in the sense that they include large regions of space. It finds uses in ecology, image analysis, etc. this page is adapted from Benoit B. Mandelbrot, Romualdo Pastor-Satorras and Erik M. Rauch, "The geometry of Critical Ising Clusters: Gap Independence and Global Structure," in preparation.|
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