Results 41 to 50 of about 14,770 (221)

Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line [PDF]

, 2020
We extend the multifractal formalism for the local dimension spectrum of a Gibbs measure μ supported on the attractor Λ of a conformal iterated functions system on the real line.
Sumi, Hiroki, Jaerisch, Johannes
core   +1 more source

Joint multifractal analysis based on the partition function approach: analytical analysis, numerical simulation and empirical application

New Journal of Physics, 2015
Many complex systems generate multifractal time series which are long-range cross-correlated. Numerous methods have been proposed to characterize the multifractal nature of these long-range cross correlations.
Wen-Jie Xie, Zhi-Qiang Jiang, Gao-Feng Gu, Xiong Xiong, Wei-Xing Zhou   +4 more
doaj   +1 more source

Multifractal Variation Measures and Multifractal Density Theorems

Real Analysis Exchange, 2003
For \(E\subseteq {\mathbf R}^d, q, t\in {\mathbf R} \) and \(\delta >0\), \(\mathcal H_\mu^{q,t}\) and \(\mathcal P_\mu^{q,t}\) denote, respectively, the multifractal Hausdorff measure and multifractal packing measure introduced by Olsen and Peyrière.
Cole, J., Olsen, L.
openaire   +3 more sources

A Multifractal Cascade Model for Energy Evolution and Dissipation in Ocean Turbulence

Journal of Marine Science and Engineering, 2023
Scale properties and energy dissipation in the turbulent energy transfer process play an important role in deeply understanding the features of ocean turbulence.
Xiuyan Liu, Yufei Zhang, Dalei Song, Hua Yang, Xinyu Li   +4 more
doaj   +1 more source

A commutative noncommutative fractal geometry [PDF]

, 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, Samuel, Anthony, KENNETH FALCONER, Samuel, Tony, Falconer, Kenneth, Falconer, Kenneth John, TONY SAMUEL   +6 more
core   +1 more source

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

, 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, Song, X, Li, H, Jing, X, Zheng, Z   +4 more
core   +1 more source

MULTIFRACTAL SEGMENTATION OF IMAGES [PDF]

Fractals, 1994
We propose a multifractal approach to the problem of image analysis. We show that an alternative description of images, based on a multifractal characterization, can be used instead of the classical approach that involves smoothing of the discrete data in order to compute local extrema.
Lévy Véhel, Jacques, Mignot, Pascal
openaire   +2 more sources

Generalized binomial multiplicative cascade processes and asymmetrical multifractal distributions [PDF]

Nonlinear Processes in Geophysics, 2014
The concepts and models of multifractals have been employed in various fields in the geosciences to characterize singular fields caused by nonlinear geoprocesses.
Q. Cheng
doaj   +1 more source

Multifractal Interpolation of Universal Multifractals

, 1997
LaTeX, 9 pages, no ...
Bar'yahtar, V. G., Gonchar, V. Yu., Schertzer, D., Yanovsky, V. V.   +3 more
openaire   +2 more sources

Hölder differentiability of self-conformal devil's staircases [PDF]

, 2014
In this paper we consider the probability distribution function of a Gibbs measure supported on a self-conformal set given by an iterated function system (devil's staircase) applied to a compact subset of ℝ. We use thermodynamic multifractal formalism to
Troscheit, S., Sascha Troscheit
core   +1 more source