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Frontiers of fractals for complex systems: recent advances and future challenges
This special issue of the European Physical Journal Special Topics titled “Frontiers of Fractals for Complex Systems: Recent Advances and Future...
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From fractals to networks: exploring the complex interplay of pollutants and air quality index in New Delhi
The paper explores the intricate relationship between pollutants and air quality index (AQI) through fractalysis and complex network analysis. New...
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Fractals
Order and harmony have always played a central role in the mathematical tradition, it is thus not surprising that regular geometrical objects (think...
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On the Origin of the Universe: Chaos or Cosmos?
I would like to consider the Universe according to the standard Big Bang model, including various quantum models of its origin. In addition, using...
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Thermal conductivities and complex network properties of fractal self-assembled/self-organized texture in binary composite materials
To investigate the relationship between histological properties and thermal conductivities of binary self-assembled/self-organized fractal materials...
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Multifractal Analysis of Turbulent Thermoacoustic Systems
As we discussed in Chap. 7 , the dynamics of a turbulent thermoacoustic system during the state of stable...
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Fractals: Definitions and Generation Methods
This chapter recalls in Sect. 2.1 the basic notions from fractal theory which are necessarily for understanding the concepts introduced throughout...
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Modeling of combustion and turbulent jet diffusion flames in fractal dimensions
Turbulent diffusion flames are considered an active field of research used in many engineering applications of combustion theory. The basic...
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Small-Angle Scattering from Fractals
The theory of SAS considered in the previous chapter can be extended to investigations concerning structural properties of more complex systems, such...
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Correlation Functions of Photospheric Magnetic Fields in Solar Active Regions
We used magnetograms acquired with the Helioseismic and Magnetic Imager (HMI) on board the Solar Dynamics Observatory (SDO) to calculate and analyze...
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Is there always a conservation law behind the emergence of fractal and multifractal?
One of the most basic ingredients of fractal or multifractal is its scale-invariance or self-similar property albeit they appear seemingly...
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Develo** Spectroscopic and Imaging Techniques for Advanced Studies in Soil Physics Based on Results Obtained at Embrapa Instrumentation
The development of techniques based on computed tomography, X- or gamma-ray transmission or scattering, magnetic resonance imaging, particle-induced...
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Vibration discrimination based upon multifractal spectrum and improved probabilistic neural network in the dual Mach–Zehnder interferometric perimeter system
For improving the performance of vibration discrimination in terms of dual Mach–Zehnder interferometric (DMZI) perimeter system, we proposed a novel...
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Rényi Thermodynamics as a Mandatory Basis to Model the Evolution of a Protoplanetary Gas−Dust Disk with a Fractal Structure
AbstractFor the purpose of mathematical simulations of the formation processes for planetesimals in the Solar protoplanetary disk, statistical...
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Evolution of fractal dimension in pulsed laser deposited MoO3 film with ablation time and annealing temperature
The multifractal analysis is a potential method for assessing thin film surface morphology and its changes due to different deposition conditions and...
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Relationship Between Physical and Mechanical Properties of a Polymer Composite and Fractal Dimension of Structural Elements of its Surface
The paper shows the promising use of the “fractal dimension” parameter for qualitative and quantitative analysis of the surface structure of samples...
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Speckle interferometric probing of intrafilm thermal-induced particle dynamics in RF-sputtered MoO3 films
The study of surface morphology is an unavoidable part of thin-film characterisation. The present paper reports the application of electronic speckle...
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A multifractal study of charged secondaries produced in relativistic nucleus–nucleus collisions
An analysis of the data obtained in 14.5A GeV/c 28 Si–nucleus interactions has been carried out to study the multiplicity fluctuations by using the...
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Distinguishing between deterministic oscillations and noise
Time-dependent dynamics is ubiquitous in the natural world and beyond. Effectively analysing its presence in data is essential to our ability to...
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