Results 41 to 50 of about 3,034 (206)

Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions

Entropy, 2021
By assimilating biological systems, both structural and functional, into multifractal objects, their behavior can be described in the framework of the scale relativity theory, in any of its forms (standard form in Nottale’s sense and/or the form of the ...
Nicolae Dan Tesloianu, Lucian Dobreci, Vlad Ghizdovat, Andrei Zala, Adrian Valentin Cotirlet, Alina Gavrilut, Maricel Agop, Decebal Vasincu, Igor Nedelciuc, Cristina Marcela Rusu, Irina Iuliana Costache   +10 more
doaj   +1 more source

A Multifractal Formalism

Advances in Mathematics, 1995
This is a long and carefully written paper examining up to what extent rigorous arguments can be provided for the so-called multifractal theory. The mathematical theory is based on Hausdorff and packing measures and their dimension notions on metric spaces.
openaire   +1 more source

Analysis of Indian Foreign Exchange Markets: A Multifractal Detrended Fluctuation Analysis (MFDFA) Approach

International Journal of Empirical Economics
The objectives of this paper are to analyse the presence of multifractality in daily exchange rates of the US dollar (USD), British Pound (GBP), Euro (EUR), and Japanese Yen (JPY) relative to the Indian Rupee (INR) for a specific period (1999–2018) and ...
Radhika Prosad Datta
doaj   +1 more source

Entropy and Multifractal-Multiscale Indices of Heart Rate Time Series to Evaluate Intricate Cognitive-Autonomic Interactions

Entropy, 2021
Recent research has clarified the existence of a networked system involving a cortical and subcortical circuitry regulating both cognition and cardiac autonomic control, which is dynamically organized as a function of cognitive demand.
Pierre Bouny, Laurent M. Arsac, Emma Touré Cuq, Veronique Deschodt-Arsac   +3 more
doaj   +1 more source

Two Scenarios for Quantum Multifractality Breakdown [PDF]

, 2014
peer reviewedWe expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the quantum fluctuations.
Dubertrand, R., Garcia-Mata, Ignacio, García-Mata, I., Georgeot, B., Georgeot, Bertrand, Giraud, Olivier, Lemarié, Gabriel, Martin, John, Giraud, O., Dubertrand, Rémy, Martin, J., Lemarié, G.   +11 more
core   +1 more source

Multifractality of quantum wave functions in the presence of perturbations [PDF]

, 2015
peer reviewedWe present a comprehensive study of the destruction of quantum multifractality in the presence of perturbations. We study diverse representative models displaying multifractality, including a pseudointegrable system, the Anderson model, and ...
Garcia-Mata, Ignacio, García-Mata, I., Georgeot, B., Georgeot, Bertrand, Giraud, Olivier, Lemarié, Gabriel, Martin, John, Giraud, O., Dubertrand, Rémy, Martin, J., Lemarié, G.   +10 more
core   +1 more source

Islamic vs. Conventional Equity Markets: A Multifractal Cross-Correlation Analysis with Economic Policy Uncertainty

Economies, 2023
There is ample evidence that Islamic stock markets perform differently from conventional stock markets, particularly when economic policy uncertainty (EPU) or any other uncertainty such as geopolitical uncertainty is present.
Faheem Aslam, Paulo Ferreira, Haider Ali, Arifa, Márcia Oliveira   +4 more
doaj   +1 more source

Shear behavior of bolt–grout interfaces under constant normal stiffness: Influence of grout strength and thickness

Deep Underground Science and Engineering, EarlyView.
The effects of grout strength and thickness on the shear behavior of bolt–grout interfaces (BGI) under constant normal stiffness conditions are investigated. Shear strength, failure modes, and acoustic emission characteristics are examined. The findings reveal that grout strength exerts a significantly greater influence on BGI shear strength and ...
Sunhao Zhang, Dongqi Shang, Yujing Jiang, Jinge Zhang, Hongbin Chen, Tianqi Jiang   +5 more
wiley   +1 more source

Implications and Consequences of SL(2R) as Invariance Group in the Description of Complex Systems Dynamics from a Multifractal Perspective of Motion

Entropy, 2022
Possible implications and consequences of using SL(2R) as invariance groups in the description at any scale resolution of the dynamics of any complex system are analyzed.
Lucian Dobreci, Oana Rusu, Decebal Vasincu, Mihaela Jarcău, Cristina Marcela Rusu, Silviu Gurlui, Vlad Ghizdovat, Alina Gavrilut, Maricel Agop   +8 more
doaj   +1 more source

Multifractality in critical neural field dynamics

, 2023
The brain criticality framework has largely considered brain dynamics to be monofractal even though experimental evidence suggests that the brain exhibits significant multifractality. To understand how multifractality may emerge in critical-like systems,
Ciuciu, Philippe, Dumeur, Merlin, Palva, J. Matias, Wang, Sheng H.   +3 more
core