On the multifractal analysis of measures

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August undefined, 2024

WebAbstract: -Multifractal analysis is one of the new mathematical methods, which approved itself in solving many applied problems. Multifractal approach is now widely used for geophysical data processing to investigate non-stationary … Web22 de ago. de 2024 · Multifractal behavior in the cepstrum representation of healthy and unhealthy infant cry signals is examined by means of wavelet leaders and compared using the Student t-test. The empirical results show that both expiration and inspiration signals exhibit clear evidence of multifractal properties under healthy and unhealthy conditions. …

Different types of multifractal measures in separable metric spaces …

WebIn multifractal spectrum parameters, α max and f(α max) refer to the minimum subset properties of the probability distribution of P i (ε), and α min and f(α min) mean the … Web3 de abr. de 2006 · We study the multifractal analysis of a class of self-similar measures with overlaps. This class, for which we obtain explicit formulae for the L^q spectrum tau (q) as well as the singularity spectrum f (alpha), is sufficiently large to point out new phenomena concerning the multifractal structure of self-similar measures. t-shirt 5xl herren

Multifractal spectra of Moran measures without local dimension

Web15 de nov. de 2024 · An important problem in multifractal analysis is to compute the dimensions of the level sets, i.e., the functions f ν ( γ) = dim H X ν ( γ) and F ν ( γ) = dim P X ν ( γ), where “ dim H ” and “ dim P ” denote the Hausdorff and packing dimensions, respectively. These functions are called the multifractal spectra of ν, or the singularity … Web8 de abr. de 2024 · The heterogeneity of reservoir micro-pores and the multifractal nature of their geometric morphology control the migration of oil and gas in porous media and affect the characteristics of oil and gas accumulation and productivity at the macro-scale. In this paper, based on high-resolution x-ray microscope computer tomography (XCT), … Webmultifractal analysis of measures on limit sets has since become a popular interdisciplinary subject of study { a search of several electronic databases showed that there are now hun-dreds of related papers in the physical, engineering, biological, and mathematical literature. t shirt 50 geburtstag mann

VARIATIONAL PRINCIPLES AND MIXED MULTIFRACTAL SPECTRA

Different types of multifractal measures in separable metric …

Web1 de nov. de 2024 · Introduction. Given a probability measure μ on a metric space X.The local dimension α μ (x) of μ at the point x ∈ X is defined as the limit, when it exists, of the … Web13 de abr. de 2024 · Multiscale entropy analysis is scantily employed in studying the effect of meditation, which probably need more attention along with multifractal analysis. Scientific databases, namely PubMed, Google Scholar, Web of Science, Scopus were searched to obtain the literature on “HRV analysis during meditation by nonlinear … t-shirt 60 anniWebTable 5 shows the correlation measure τ for a di- Multifractal spectra and measures disease severity verse subset of clinical scales of human balance with the multifractal … t shirt 5 for 10

"Web4 de ago. de 2014 · Most results in multifractal analysis are obtained using either a thermodynamic approach based on the existence and uniqueness of equilibrium states … " - On the multifractal analysis of measures

On the multifractal analysis of measures

Nonlinear analysis of heart rate variability signals in meditative ...

Web1 de mar. de 1997 · A rigorous mathematical foundation is presented for the multifractal analysis of Gibbs measures invariant under dynamical systems for several classes of … WebThis paper is devoted to the study of the multifractal analysis for countable Markov shifts. In a general setting multifractal analysis can be described as follows. Let µ be a ﬁnite measure on a metric space (Σ,d) and B(x,r) := {y ∈ Σ: d(x,y) < r}. The pointwise dimension of µ at the point x ∈ Σis deﬁned by d µ(x) := lim r→0 ...

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WebMultifractal measures, especially for the geophysicist. Annual Rev. of Materials Sciences, 19:514–516,1989. Google Scholar. B.B. Mandelbrot. New “anomalous” multiplicative multifractals: left sided (α) and the modeling of DLA. In Condensed matter physics, in honour of Cyrill Domb, Bar Ilan (1990), 1990. Physica A. Google Scholar. WebA REVIEW ON MULTIFRACTAL ANALYSIS OF HEWITT-STROMBERG MEASURES BILEL SELMI ABSTRACT.We estimate the upper and lower bounds of the Hewitt-Stromberg dimensions. In particular, these

Weband related multifractal measure and multifractal dimension maps; here j(Γ(Rd) denotes the family of non-empty compact subsets of R^ equipped with the Hausdorff metric, and Jt(Rd) denotes the family of Radon measures on R^ equipped with the weak topology. CONTENTS 1. Introduction. 2. The Setting. 3. Analysis of the Multifractal Hausdorff ... Web29 de mai. de 2024 · Keywords: multifractal, upper local dimension, lower local dimesnion Mathematics Subject Classification numbers: Primary: 28A80; Secondary: 28A78 1. …

Web1 de set. de 2024 · The multifractal analysis of a single measure passes through its local dimension or its Hölder exponent. For a measure μ eventually Borel and finite on R d and x ∈ S μ = Support ( μ), the local dimension of μ at the point x is defined by α μ ( x) = lim r ↓ 0 log ( μ ( B ( x, r))) log r when such a limit exists. Web21 de mai. de 2009 · In this paper we study the multifractal spectrum of Lyapunov exponents for interval maps with infinitely many branches and a parabolic fixed point. It turns out that, in strong contrast with the hyperbolic case, the domain of the spectrum is unbounded and points of non-differentiability might exist. Moreover, the spectrum is not …

WebIn this paper, the multifractal properties of the ion current time series in the fast-activating vacuolar (FV) channels of Beta vulgaris L. taproot cells were investigated. These …

WebIn this paper, the multifractal properties of the ion current time series in the fast-activating vacuolar (FV) channels of Beta vulgaris L. taproot cells were investigated. These channels are permeable for only monovalent cations and mediate K+ at very low concentrations of cytosolic Ca2+ and large voltages of either polarity. Using the patch clamp technique, the … philosopher\u0027s rtWeb23 de mar. de 2024 · The proposed approach first locates a change-point and then performs a multifractal detrended fluctuation analysis (MF-DFA) on each interval. The study investigates the impact of the COVID-19 pandemic on asymmetric multifractal scaling by analyzing financial indices of the G3+1 nations, including the world’s four largest … philosopher\\u0027s ruWeb报告地点：工西416（学术报告厅）. 摘要：In this talk, we give a multifractal analysis on the Birkhoff average for a class of skew product transformations, which is driven by a uniquely ergodic homeomorphism and satisfies Anosov and topological mixing on fibers property. The conclusion is twofold: a variational principle between ... philosopher\u0027s rsWebWe present the multifractal study of the intermittency of the magnetic field turbulence in the fast and slow solar wind beyond the ecliptic plane during two solar minima (1997-1998, … philosopher\\u0027s rtWebOn the multifractal analysis of measures G. Brown, G. Michon & J. Peyrière Journal of Statistical Physics 66 , 775–790 ( 1992) Cite this article 508 Accesses 225 Citations Metrics Abstract The multifractal formalism is shown to hold for a large class of measures. … t-shirt 5er packWebThe multifractal measure inequalitie in (1"5 ca)s n thus be viewed as natural multifractal generalization of the fractasl measure inequalitie in (1"6)s W. e ... HausdorfF measure … t-shirt 60 ansWeb6 de jun. de 2001 · theroleofmultifractal moduli, i.e., of complete invariants for dynamical systems obtained solely from their multifractal analysis. As such, multifractal spectra can play a fundamental role in the theory of dynamical systems. Given a probability measure on a metric space X, we de ne the pointwise dimension of at the point x2Xby d (x) = lim r!0 ... philosopher\\u0027s rs