Results 81 to 90 of about 3,881 (165)
Toward a deeper understanding of a basic cascade
Research in StatisticsThe study of turbulence and chaos has led to crucial new concepts. In particular, B. Mandelbrot introduced and promoted (multi-)fractals. More recently, cascades have gained momentum. Not least due to technical difficulties, continuous stochastic models,
U. Saint-Mont
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Levy Anomalous Diffusion and Fractional Fokker--Planck Equation
, 2000 We demonstrate that the Fokker-Planck equation can be generalized into a 'Fractional Fokker-Planck' equation, i.e. an equation which includes fractional space differentiations, in order to encompass the wide class of anomalous diffusions due to a Levy ...
A.V. Chechkin +41 more
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Natural Sciences, Volume 6, Issue 2, April 2026.v. Weizsäcker and Heisenberg began their turbulence collaboration in 1945 while still quarantined at Farm Hall. Their papers were submitted separately in 1946 from Göttingen. v. Weizsäcker had derived the 5/3 law for dissipation while using dimensional analysis in real space.
Joseph L. McCauley
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Applications of Multifractals in the Analysis of Room Impulse Response - Initial Research [PDF]
Telfor Journal, 2011 The analysis of impulse response has a central place in room acoustics. The research presented in this paper was aimed at examining possibilities for applying multifractal theory in room acoustics focusing on the analysis of room impulse response ...
M. Pavlović, D. M. Ristić
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Conformal Theory of the Dimensions of Diffusion Limited Aggregates
, 1998 We employ the recently introduced conformal iterative construction of Diffusion Limited Aggregates (DLA) to study the multifractal properties of the harmonic measure.
Davidovich, Benny, Procaccia, Itamar
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Earth and Space Science, Volume 13, Issue 4, April 2026.Abstract Solar activity is usually characterized by different indices from different perspectives, which are commonly interconnected and contain nonstationary oscillations (NSOs). Given the significant influence of solar activity on space weather, the Earth and humans, it is of great significance to predict solar activity for better understanding not ...
Shan Jiang +4 more
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The fractal distribution of haloes
, 2005 We examine the proposal that a model of the large-scale matter distribution consisting of randomly placed haloes with power-law profile, as opposed to a fractal model, can account for the observed power-law galaxy-galaxy correlations.
Balian R. +11 more
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Graph‐Theory Approach to Element Miscibility and Alloy Design
Advanced Science, Volume 13, Issue 16, 18 March 2026.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.
Andrew Martin +6 more
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Fractal and mechanical microand nanorange properties of sylvite and halite crystals
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 This article involves the treatment of micro- and nanorange scanning and indentation data for salt rock crystals obtained with help of the scanning microscope Dimension Icon using the mathematical models.
Valery N Aptukov, Victor Yu Mitin
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On the equality of Hausdorff and box counting dimensions
, 1993 By viewing the covers of a fractal as a statistical mechanical system, the exact capacity of a multifractal is computed. The procedure can be extended to any multifractal described by a scaling function to show why the capacity and Hausdorff dimension ...
Feigenbaum M. J. +6 more
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