**Chapter 3**

References

Fractal Analysis

and Co; 1982

Wales; 2000

036802. DOI: 10.1103/ PhysRevLett.87.036802

1951;116:770-808

30

[8] Hurst HE. Long-term storage capacity of reservoirs. Transactions of the American Society of Civil Engineers.

[9] Dubuc B, Quiniou JF, Roques-Carmes C, Tricot C. Evaluating the fractal dimension of profiles. Physical

science.156.3775.636

[1] Mandelbrot B. How long is the coast of Britain? Statistical self-similarity and fractal dimension. Science. 1967; 156(3775):636-638. DOI: 10.1126/

Review A. 1989;39(3):1500-1512. DOI:

[10] Riley MA, Bonnette S, Kuznetsov N, Wallot S, Gao J. A tutorial introduction to adaptive fractal analysis. Frontiers in Physiology. 2012;3(371). DOI: 10.3389/

[11] Mandelbrot B, Van Ness JW. Fractional Brownian motions, fractional noises and applications. SIAM Review. 1968;10(4):422-437. DOI: 10.1137/

[12] Mandelbrot B. Self-affine fractals and fractal dimension. Physica Scripta.

[13] Gneiting T, Schlather M. Stochastic models that separate fractal dimension and the hurst effect. SIAM Review.

[15] Labate D, Canavero F, De Marchi A. A comparison of fractal dimension and spectrum coefficient characterization of 1/f<sup>α</sup> noise. Metrologia. 1994;31(51). DOI:

1985;32:257-260. DOI: 10.1088/

2004;46:269. DOI: 10.1137/ S0036144501394387

[14] Barnsley MF, Devaney RL, Mandelbrot B, Peitgen HO, Saupe D, Voss RF. The Science of Fractal Images. New York Inc: Springer-Verlag; 1988

10.1088/0026-1394/31/1/011

0031-8949/32/4/001

10.1103/PhysRevA.39.1500

fphys.2012.00371

1010093

[2] Richardson LF. The problem of contiguity: An appendix to statistic of deadly quarrels. In: General Systems Yearbook. Ann Arbor: The Society for General Systems Theory; 1961;6:139

[3] Mandelbrot B. The Fractal Geometry of Nature. New York: W. H. Freeman

[5] Taylor RP, Newbury R, Sachrajda AS, Feng Y, Coleridge PT, Dettmann C, et al. Self-similar magnetoresistance of a semiconductor sinai billiard. Physical Review Letters. 1997;78(10):1952-1955. DOI: 10.1103/PhysRevLett.78.1952

[4] Voss RF. Characterization and measurement of random fractals. Physica Scripta. 1986;T13:27-32. DOI: 10.1088/0031-8949/1986/T13/004

[6] Micolich AP. Fractal magnetoconductance fluctuations in mesoscopic

semiconductor billiards [thesis]. Sydney: University of New South

[7] Micolich AP, Taylor RP, Davies AG, Bird JP, Newbury R, Fromhold TM, et al. Evolution of fractal patterns during a classical-quantum transition. Physical Review Letters. 2001;87:
