Lévy statistics in coding and non-coding nucleotide sequences
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TLDR
The diffusion entropy analysis measures the scaling of the probability density function of the diffusion process generated by time series imagined as a physical source of fluctuations and finds that long-range correlations generating Levy statistics are present in both coding and non-coding DNA sequences.About:
This article is published in Physics Letters A.The article was published on 2002-07-15 and is currently open access. It has received 22 citations till now.read more
Citations
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Journal ArticleDOI
Anomalous localization in low-dimensional systems with correlated disorder
TL;DR: In this paper, a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials is presented.
Journal ArticleDOI
Understanding mobility in a social petri dish
Michael Szell,Roberta Sinatra,Roberta Sinatra,Giovanni Petri,Stefan Thurner,Stefan Thurner,Stefan Thurner,Vito Latora,Vito Latora,Vito Latora +9 more
TL;DR: In this article, an entire society of individuals, the players of an online-game, with complete information on their movements in a network-shaped universe and on their social and economic interactions is studied.
Journal ArticleDOI
Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
TL;DR: In this article, a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials is presented.
Journal ArticleDOI
Intermittency and scale-free networks: a dynamical model for human language complexity
TL;DR: In this article, the authors discuss intermittency, scale-free networks, and a dynamical model for human language complexity, and propose a model for language complexity in the context of human language processing.
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Temporal series analysis approach to spectra of complex networks.
TL;DR: The spacing of nearest levels of the spectrum of a complex network can be regarded as a time series and joint use of the multifractal detrended fluctuation approach (MF-DFA) and diffusion entropy (DE) is employed to extract characteristics from this time series.
References
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Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Journal ArticleDOI
Mosaic organization of DNA nucleotides
Chung-Kang Peng,Chung-Kang Peng,Chung-Kang Peng,Sergey V. Buldyrev,Sergey V. Buldyrev,Sergey V. Buldyrev,Shlomo Havlin,Shlomo Havlin,Shlomo Havlin,Michael Simons,Michael Simons,Michael Simons,H. E. Stanley,H. E. Stanley,H. E. Stanley,Ary L. Goldberger,Ary L. Goldberger,Ary L. Goldberger +17 more
TL;DR: This work analyzes two classes of controls consisting of patchy nucleotide sequences generated by different algorithms--one without and one with long-range power-law correlations, finding that both types of sequences are quantitatively distinguishable by an alternative fluctuation analysis method.
Journal ArticleDOI
Long-range correlations in nucleotide sequences
Chung-Kang Peng,Sergey V. Buldyrev,Ary L. Goldberger,Shlomo Havlin,Shlomo Havlin,Francesco Sciortino,Michael Simons,Michael Simons,H. E. Stanley +8 more
TL;DR: This work proposes a method for studying the stochastic properties of nucleotide sequences by constructing a 1:1 map of the nucleotide sequence onto a walk, which it refers to as a 'DNA walk', and uncovers a remarkably long-range power law correlation.
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Evolution of long-range fractal correlations and 1/f noise in DNA base sequences.
TL;DR: Spectral density measurements of individual base positions demonstrate the ubiquity of low-frequency 1/f β noise and long-range fractal correlations as well as prominent short-range periodicities.