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Inhomogeneity and complexity measures for spatial patterns

Author

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  • Piasecki, R.
  • Martin, M.T.
  • Plastino, A.

Abstract

In this work, we examine two different measures for inhomogeneity and complexity that are derived from non-extensive considerations à 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.

Suggested Citation

  • Piasecki, R. & Martin, M.T. & Plastino, A., 2002. "Inhomogeneity and complexity measures for spatial patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 307(1), pages 157-171.
    • Handle: RePEc:eee:phsmap:v:307:y:2002:i:1:p:157-171
    DOI: 10.1016/S0378-4371(01)00591-X
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    Cited by:

    1. Balankin, Alexander S. & Bory-Reyes, Juan & Shapiro, Michael, 2016. "Towards a physics on fractals: Differential vector calculus in three-dimensional continuum with fractal metric," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 345-359.

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