From standard alpha-stable Lévy motions to horizontal visibility networks: dependence of multifractal and Laplacian spectrum
暂无分享,去创建一个
Zu-Guo Yu | Yuan-Lin Ma | V. Anh | Zuguo Yu | Yuanlin Ma | Vo Anh | Hai-Long Zou | Hai-Long Zou
[1] Albert-László Barabási,et al. Statistical mechanics of complex networks , 2001, ArXiv.
[2] Chang-Yong Lee,et al. Statistical self-similar properties of complex networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[3] C. Mallows,et al. A Method for Simulating Stable Random Variables , 1976 .
[4] Zengru Di,et al. Accuracy of the ball-covering approach for fractal dimensions of complex networks and a rank-driven algorithm. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[5] Zu-Guo Yu,et al. Fractal and multifractal analyses of bipartite networks , 2017, Scientific Reports.
[6] K. Lau,et al. Clustering of protein structures using hydrophobic free energy and solvent accessibility of proteins. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[7] S. Havlin,et al. Self-similarity of complex networks , 2005, Nature.
[8] Hernán A. Makse,et al. A review of fractality and self-similarity in complex networks , 2007 .
[9] Zhong-Ke Gao,et al. Multi-frequency complex network from time series for uncovering oil-water flow structure , 2015, Scientific Reports.
[10] B. Luque,et al. Horizontal visibility graphs: exact results for random time series. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.
[11] S. Pati,et al. THE THIRD SMALLEST EIGENVALUE OF THE LAPLACIAN MATRIX , 2001 .
[12] Kousuke Yakubo,et al. Multifractality of complex networks. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.
[13] T. Vicsek,et al. Determination of fractal dimensions for geometrical multifractals , 1989 .
[14] S. Havlin,et al. How to calculate the fractal dimension of a complex network: the box covering algorithm , 2007, cond-mat/0701216.
[15] Jensen,et al. Erratum: Fractal measures and their singularities: The characterization of strange sets , 1986, Physical review. A, General physics.
[16] Lucas Lacasa,et al. Detecting Series Periodicity with Horizontal Visibility Graphs , 2012, Int. J. Bifurc. Chaos.
[17] Mariano Sigman,et al. The Conundrum of Functional Brain Networks: Small-World Efficiency or Fractal Modularity , 2012, Front. Physio..
[18] M. Fiedler. Algebraic connectivity of graphs , 1973 .
[19] Zu-Guo Yu,et al. Multifractal analysis of weighted networks by a modified sandbox algorithm , 2015, Scientific reports.
[20] David R. Anderson,et al. Multimodel Inference , 2004 .
[21] Zu-Guo Yu,et al. Topological properties and fractal analysis of a recurrence network constructed from fractional Brownian motions. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.
[22] David M. Winker,et al. Global view of aerosol vertical distributions from CALIPSO lidar measurements and GOCART simulations: Regional and seasonal variations , 2010 .
[23] I. Gutman,et al. Laplacian energy of a graph , 2006 .
[24] G. Kirchhoff. On the Solution of the Equations Obtained from the Investigation of the Linear Distribution of Galvanic Currents , 1958 .
[25] B. Mcclelland. Properties of the Latent Roots of a Matrix: The Estimation of π‐Electron Energies , 1971 .
[26] Jürgen Kurths,et al. Recurrence networks—a novel paradigm for nonlinear time series analysis , 2009, 0908.3447.
[27] Ivan Gutman,et al. Topology and stability of conjugated hydrocarbons: The dependence of total π-electron energy on molecular topology , 2005 .
[28] F. Larkins. Point defect calculations in diamond-type crystals by the extended Huckel method 1: General theory and the vacancy problem , 1971 .
[29] Jürgen Kurths,et al. Ambiguities in recurrence-based complex network representations of time series. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.
[30] Choujun Zhan,et al. Laplacian Spectra and Synchronization Processes on Complex Networks , 2012 .
[31] Hernán A Makse,et al. Scaling of degree correlations and its influence on diffusion in scale-free networks. , 2008, Physical review letters.
[32] Michael Small,et al. Superfamily phenomena and motifs of networks induced from time series , 2008, Proceedings of the National Academy of Sciences.
[33] J S Kim,et al. Fractality in complex networks: critical and supercritical skeletons. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[34] Zu-Guo Yu,et al. Multifractal analysis of solar flare indices and their horizontal visibility graphs , 2012 .
[35] S. Jaffard. The multifractal nature of Lévy processes , 1999 .
[36] Vincent Moulton,et al. Improving the McClelland inequality for total π-electron energy , 2000 .
[37] Ivan Gutman,et al. Chemical applications of the Laplacian spectrum. VI On the largest Laplacian eigenvalue of alkanes , 2002 .
[38] J. Kurths,et al. Complex network approach for recurrence analysis of time series , 2009, 0907.3368.
[39] Lucas Lacasa,et al. From time series to complex networks: The visibility graph , 2008, Proceedings of the National Academy of Sciences.
[40] Zu-Guo Yu,et al. Fractal and complex network analyses of protein molecular dynamics , 2014, 1403.4719.
[41] Zu-Guo Yu,et al. Determination of multifractal dimensions of complex networks by means of the sandbox algorithm. , 2014, Chaos.
[42] Zu-Guo Yu,et al. Underlying scaling relationships between solar activity and geomagnetic activity revealed by multifractal analyses , 2014 .
[43] I. Gutman. Total ?-electron energy of benzenoid hydrohabons , 1983 .