Inhomogeneity and complexity measures for spatial patterns

Details Inhomogeneity and complexity measures for spatial patterns Inhomogeneity and complexity measures for spatial patterns

2001-07-23

arxiv.org/abs/cond-mat/0107471v3

Physica A 307 (2002) 157-171

Physics

Condensed Matter

Statistical Mechanics

15 pages, 7 figures; replaced with published version

Scientific paper

10.1016/S0378-4371(01)00591-X

In this work we examine two different measures for inhomogeneity and complexity that are derived from nonextensive considerations a' la Tsallis. Their performance is then tested on theoretically generated patterns. All measures are found to exhibit a most sensitive behaviour for Sierpinski carpets. The procedures here introduced provide us with new, powerful Tsallis' tools for analysing the inhomogeneity and complexity of spatial patterns.

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