Estimation of fractal dimension of random fields on the basis of variance analysis of increments-Reference-Cited by-同舟云学术

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Estimation of fractal dimension of random fields on the basis of variance analysis of increments

Published:2011-01 Issue:1 Volume:4 Page:71-80
ISSN:1995-4239
Container-title:Numerical Analysis and Applications
language:en
Short-container-title:Numer. Analys. Appl.

Author:

Prigarin S. M.,Hahn K.,Winkler G.

Publisher

Pleiades Publishing Ltd

Subject

Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1134/S1995423911010071.pdf

Reference10 articles.

1. Hausdorff, F., Dimension und äußeres Maß, Math. Ann., 1919, vol. 79, pp. 157–179.

2. Stoyan, D. and Stoyan, H., Fractals, Random Shapes and Point Fields. Methods of Geometrical Statistics, Chichester: Wiley, 1994.

3. Prigarin, S.M., Hahn, K., and Winkler, G., Comparative Analysis of Two NumericalMethods to Measure the Hausdorff Dimension of the Fractional Brownian Motion, Sib. Zh. Vych. Mat., 2008, vol. 1, no. 2, pp. 210–218.

4. Prigarin, S.M., Hahn, K., and Winkler, G., Variational Dimension of Random Sequences and Its Application, Sib. Zh. Vych. Mat., 2009, vol. 2, no. 4, pp. 435–448.

5. Adler, R.J., The Geometry of Random Fields, New York: Wiley, 1981.

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