Results 41 to 50 of about 22,027,746 (211)

A commutative noncommutative fractal geometry [PDF]

open access: yes, 2010
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid   +6 more
core   +1 more source

Toward Interactions through Information in a Multifractal Paradigm

open access: yesEntropy, 2020
In a multifractal paradigm of motion, Shannon’s information functionality of a minimization principle induces multifractal–type Newtonian behaviors. The analysis of these behaviors through motion geodesics shows the fact that the center of the Newtonian ...
Maricel Agop   +5 more
doaj   +1 more source

The Contribution of Wavelets in Multifractal Analysis [PDF]

open access: yes, 2010
We show how wavelet techniques allow to derive irregularity properties of functions on two particular examples: Lacunary Fourier series and some Gaussian random processes. Then, we work out a general derivation of the multifractal formalism in the sequence setting, and derive some of its properties.
Jaffard, Stéphane   +4 more
openaire   +2 more sources

On a General Concept of Multifractality: Multifractal Spectra for Dimensions, Entropies, and Lyapunov Exponents. Multifractal Rigidity [PDF]

open access: yes, 1996
We introduce the mathematical concept of multifractality and describe various multifractal spectra for dynamical systems, including spectra for dimensions and spectra for entropies.
Jörg Schmeling   +6 more
core   +1 more source

A Comparison of Wavelet Packet, Wavelet Leaders Multifractal, and p-Leader Multifractal Method in Chatter Detection

open access: yes, 2023
An efficient stability analysis contributes to the improvement of machining stability and chatter suppression. First, this paper presents three chatter detection approaches that were developed on the application of wavelet transforms.
Wang, Y   +4 more
core   +1 more source

Multifractal analysis of embryonic eye structures from female mice with dietary folic acid deficiency. Part I: Fractal dimension, lacunarity, divergence, and multifractal spectrum [PDF]

open access: yes, 2020
The purpose of this study was to investigate effects of low maternal folic acid (FA) status on many eye structures in embryonic mice using multifractal analysis, a method for describing complex structural patterns.
López Alonso, José Manuel   +3 more
core   +1 more source

Analysis of Multifractals in Game Behaviors

open access: yesProcedia Computer Science, 2012
AbstractWe study the diffusive process and the multifractal property in the Baduk. We are able to ascertain the superdiffusive process that the dispersion is proportional to tɛ with the scaling exponent ɛ =1.66±0.26 for our model. After simulating the multifractal behavior, we analyze the multifractal strength of three different segments.
Jae-Won Jung   +3 more
openaire   +2 more sources

Nonlinear Analysis of the U.S. Stock Market: From the Perspective of Multifractal Properties and Cross-Correlations with Comparisons

open access: yesFractal and Fractional
This study investigates the multifractal properties of daily returns of the Standard and Poor’s 500 Index (SPX), the Dow Jones Industrial Average (DJI), and the Nasdaq Composite Index (IXIC), the three main indices representing the U.S.
Chenyu Han, Yingying Xu
doaj   +1 more source

Measure representation and multifractal analysis of complete genomes [PDF]

open access: yes, 2001
This paper introduces the notion of measure representation of DNA sequences. \ud Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of complete genomes.\ud The main aim of this paper is to ...
Anh, Vo V., Yu, Zu-Guo, Lau, Ka-Sing
core   +1 more source

Multifractal Cross Correlation Analysis of Agro-Meteorological Datasets (Including Reference Evapotranspiration) of California, United States

open access: yes, 2020
The multifractal properties of six acknowledged agro-meteorological parameters, such as reference evapotranspiration (ET0), wind speed (U), incoming solar radiation (SR), air temperature (T), air pressure (P), and relative air humidity (RH) of five ...
Sankaran, A.   +15 more
core   +1 more source

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