[1] Woldenberg M J, Berry B J L. Rivers and central places: analogous systems?[J]. Journal of Regional Science, 7, 129-139(1967).

[2] Krugman P. Confronting the mystery of urban hierarchy[J]. Journal of the Japanese and International economies, 10, 399-418(1996).

[3] Mandelbrot B B. How long is the coast of Britain? Statistical self-similarity and fractional dimension[J]. Science, 156, 636-638(1967).

[4] Mandelbrot B B. The fractal geometry of nature[M]. New York, USA: W. H. Freeman and Company(1983).

[5] Tarboton D G, Bras R L, Rodriguez-Iturbe I. The fractal nature of river networks[J]. Water Resources Research, 24, 1317-1322(1988).

[6] La Barbera P, Rosso R. On the fractal dimension of stream networks[J]. Water Resources Research, 25, 735-741(1989).

[8] Benguigui L, Czamanski D, Marinov M et al. When and where is a city fractal?[J]. Environment & Planning B Planning & Design, 27, 507-519(2000).

[9] Frankhauser P, Tannier C, Vuidel G et al. An integrated multifractal modelling to urban and regional planning[J]. Computers, Environment and Urban Systems, 67, 132-146(2018).

[10] Chen Yanguang. Analogies between urban hierarchies and river networks: Fractals, symmetry, and self-organized criticality[J]. Chaos Solitons & Fractals, 40, 1766-1778(2009).

[11] Chen Yanguang. Multifractals of central place systems: Models, dimension spectrums, and empirical analysis[J]. Physica A: Statistical Mechanics & Its Applications, 402, 266-282(2014).

[21] Halsey T C, Jensen M H, Kadanoff L P et al. Fractal measures and their singularities: The characterization of strange sets[J]. Physical Review A, 33, 1141-1151(1986).

[22] Hentschel H G E, Procaccia I. The infinite number of generalized dimensions of fractals and strange attractors[J]. Physica D: Nonlinear Phenomena, 8, 435-444(1983).

[23] Chhabra A, Jensen R V. Direct determination of the f(α) singularity spectrum[J]. Physical Review Letters, 62, 1327-1330(1989).

[24] White R, Engelen G. Cellular automata and fractal urban form: A cellular modelling approach to the evolution of urban land-use patterns[J]. Environment and Planning A, 25, 1175-1199(1993).

[25] White R, Engelen G. Urban systems dynamics and cellular automata: Fractal structures between order and chaos[J]. Chaos Solitons & Fractals, 4, 563-583(1994).

[27] Chen Yanguang, Huang Linshan. A scaling approach to evaluating the distance exponent of the urban gravity model[J]. Chaos Solitons & Fractals, 109, 303-313(2018).

[28] Chen Yanguang, Lin Jingyi. Modeling the self-affine structure and optimization conditions of city systems using the idea from fractals[J]. Chaos Solitons & Fractals, 41, 615-629(2009).

[31] Sun Xia, Chen Huiping, Wu Ziqin et al. Multifractal analysis of Hang Seng index in Hong Kong stock market[J]. Physica A: Statistical Mechanics and Its Applications, 291, 553-562(2001).

[32] Sun Xia, Chen Huiping, Yuan Yongzhuang et al. Predictability of multifractal analysis of Hang Seng stock index in Hong Kong[J]. Physica A: Statistical Mechanics and Its Applications, 301, 473-482(2001).

[37] Rifkin J, Howard T[M]. Entropy: A new world view(1980).

[38] Ryabko B Y. Noise-free coding of combinatorial sources, Hausdorff dimension and Kolmogorov complexity[J]. Problemy Peredachi Informatsii, 22, 16-26(1986).