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Graph-Theory Approach to Element Miscibility and Alloy Design. [PDF]
Adv Sci (Weinh)Graph and network theory enables pathway toward complex multiscale interactions between different elements for alloy design or interface engineering. Utilizing element's inherent properties and preferential interactivity, favorable mixed material formation, solubility and miscibility can be predicted.
Martin A +6 more
europepmc +2 more sources
Multifractal Decompositions using Iterated Function Systems
Journal of Physics: Conference Series, 2019 Abstract We analyze two types of multifractal decompositions (MD) of fractals F generated by an Iterated Function System (IFS), they are the geometric and the statistical MD, the first is generated by an IFS and the second by an IFS with probability. In the first, F is decomposed in subsets M(φ) of points characterized by the same vector
J L del Río-Correa +2 more
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Application of the microcanonical multifractal formalism to monofractal systems [PDF]
Physical Review E, 2006 The design of appropriate multifractal analysis algorithms, able to correctly characterize the scaling properties of multifractal systems from experimental, discretized data, is a major challenge in the study of such scale invariant systems. In the recent years, a growing interest for the application of the microcanonical formalism has taken place, as ...
Pont, Oriol +2 more
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Topological synchronization of chaotic systems
Scientific Reports, 2022 A chaotic dynamics is typically characterized by the emergence of strange attractors with their fractal or multifractal structure. On the other hand, chaotic synchronization is a unique emergent self-organization phenomenon in nature.
Nir Lahav +6 more
doaj +1 more source
The world according to Rényi: thermodynamics of multifractal systems [PDF]
Annals of Physics, 2004 We discuss basic statistical properties of systems with multifractal structure. This is possible by extending the notion of the usual Gibbs--Shannon entropy into more general framework - Renyi's information entropy. We address the renormalization issue for Renyi's entropy on (multi)fractal sets and consequently show how Renyi's parameter is connected ...
Jizba, Petr, Arimitsu, Toshihico
openaire +3 more sources
Multifractality and intermediate statistics in quantum maps [PDF]
, 2007 We study multifractal properties of wave functions for a one-parameter family of quantum maps displaying the whole range of spectral statistics intermediate between integrable and chaotic statistics.
B. Georgeot +3 more
core +3 more sources
Vadose Zone Journal, 2014 Mercury intrusion porosimetry (MIP) is commonly used to determine soil pore size distributions (PSDs) in a wide, but incomplete, range of equivalent pore diameters.
Jorge Paz-Ferreiro, Eva Vidal Vázquez
doaj +1 more source
Multifractal detrended cross-correlation analysis for two nonstationary signals
, 2008 It is ubiquitous in natural and social sciences that two variables, recorded temporally or spatially in a complex system, are cross-correlated and possess multifractal features.
A. N. Kravchenko +3 more
core +1 more source
Multifractal analysis of discretized X-ray CT images for the characterization of soil macropore structures [PDF]
, 2010 A correct statistical model of soil pore structure can be critical for understanding flow and transport processes in soils, and creating synthetic soil pore spaces for hypothetical and model testing, and evaluating similarity of pore spaces of different ...
Caniego Monreal, Francisco +6 more
core +3 more sources
Multifractal analysis of non-uniformly hyperbolic systems [PDF]
Israel Journal of Mathematics, 2010 We prove a multifractal formalism for Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville--Pomeau map.
Johansson, A +3 more
openaire +5 more sources