Journal: GeroScience

Article Title: Lifelong longitudinal assessment of the contribution of multi-fractal fluctuations to heart rate and heart rate variability in aging mice: role of the sinoatrial node and autonomic nervous system

doi: 10.1007/s11357-024-01267-0

Figure Lengend Snippet: Multi-scale multi-fractal detrended-fluctuation analysis of heart rate variability in aging mice. A Representative plots of overall RMS (Fq(s)) as a function of scale (in seconds) for different orders (q = − 5, − 3, − 1, 0, 1, 3, 5) at 3 month intervals in an aging mouse. B-I Phase shift surrogate analysis for a representative mouse at 6 months and 27 months of age in baseline conditions and after ANS blockade. Surface plots for MSMFDFA scale exponents of the original RR interval time series at 6 months of age in baseline conditions (B), at 6 months of age after ANS blockade (C), at 27 months of age in baseline conditions (D), and at 27 months of age after ANS blockade (E). Surface plots for MSMFDFA scale exponents after performing a 100 Fourier phase shuffled time series of the original RR interval time series (as shown in B-E) at 6 months of age in baseline conditions (F), at 6 months of age after ANS blockade (G), at 27 months of age in baseline conditions (H), and at 27 months of age after ANS blockade (I)

Article Snippet: We have recently developed and validated the use of multi-scale multi-fractal detrended fluctuation analysis (MSMFDFA) as a complexity based method to jointly assess multi-scale and multi-fractal nonlinear dynamics of HR in normal, healthy wildtype mice [ 24 ].

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Journal: The Journal of the Korean Physical Society

Article Title: Multifractal analysis of social media use in financial markets

doi: 10.1007/s40042-022-00448-4

Figure Lengend Snippet: Panels a and c show the multifractal scaling functions \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau (q)$$\end{document} τ ( q ) with q of the empirical data and shuffled time series for three subperiods. Panels b and d show the multifractal diminsion \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f(\alpha )$$\end{document} f ( α ) with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha$$\end{document} α calculated by a Legendre transform from both \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau (q)$$\end{document} τ ( q ) and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau$$\end{document} τ of a and c , respectively. The red squares, the green diamons, and blue circles correspond to the total number of messsage (2018), (2019), and (2020)

Article Snippet: We analyze the nonlinear features of both social media activity and its differences as alternative information on the financial market using the multifractal detrended fluctuation analysis (MF-DFA) method for Naver Finance content.

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