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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.
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Multifractality and its role in anomalous transport in the disordered XXZ spin-chain [PDF]
, 2020 The disordered XXZ model is a prototype model of the many-body localization transition (MBL). Despite numerous studies of this model, the available numerical evidence of multifractality of its eigenstates is not very conclusive due severe finite size ...
Khaymovich, Ivan M. +2 more
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Dynamical multifractal zeta-functions, multifractal pressure and fine multifractal spectra [PDF]
Journal d'Analyse Mathématique, 2017 41 pages.
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Multifractality without fine-tuning in a Floquet quasiperiodic chain
SciPost Physics, 2018 Periodically driven, or Floquet, disordered quantum systems have generated many unexpected discoveries of late, such as the anomalous Floquet Anderson insulator and the discrete time crystal.
Sthitadhi Roy, Ivan M. Khaymovich, Arnab Das, Roderich Moessner
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Multifractal detrended fluctuation analysis of nonstationary time series [PDF]
, 2002 We develop a method for the multifractal characterization of nonstationary time series, which is based on a generalization of the detrended fluctuation analysis (DFA).
Alados +50 more
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Multifractal spectra and multifractal zeta-functions [PDF]
Aequationes mathematicae, 2016 49 ...
Mijovic, Vuksan, Olsen, Lars Ole Ronnow
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Advances in High Energy Physics, 2018 A study of multifractality and multifractal specific heat has been carried out for the produced shower particles in nuclear emulsion detector for 16O-AgBr, 28Si-AgBr, and 32S-AgBr interactions at 4.5AGeV/c in the framework of Renyi entropy.
Swarnapratim Bhattacharyya +3 more
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Modeling Dynamic Multifractal Efficiency of US Electricity Market
Energies, 2021 The dramatic deregulatory reforms in US electricity markets increased competition, resulting in more complex prices compared to other commodities. This paper aims to investigate and compare the overall and time-varying multifractality and efficiency of ...
Haider Ali, Faheem Aslam, Paulo Ferreira
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Multifractality and Freezing Phenomena in Random Energy Landscapes: an Introduction [PDF]
, 2010 The Boltzmann-Gibbs probability distributions generated by logarithmically correlated random potentials provide a simple yet nontrivial example of disorder-induced multifractal measures. We introduce and discuss two analytically tractable models for such
Bacry +41 more
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Decomposing Multifractal Crossovers [PDF]
Frontiers in Physiology, 2017 Physiological processes-such as, the brain's resting-state electrical activity or hemodynamic fluctuations-exhibit scale-free temporal structuring. However, impacts common in biological systems such as, noise, multiple signal generators, or filtering by transport function, result in multimodal scaling that cannot be reliably assessed by standard ...
Zoltan Nagy +5 more
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