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6,538
Effect of surface roughness on diffusion limited reactions, a multifractal scaling analysis
, 2001
"... EleyRideal diffusion limited reactions (DLR) were performed over different rough surfaces generated by Rain model. Multifractal scaling analysis has been carried out on the reaction probability distribution to investigate the effect of surface roughness on the chemical reactions. The results are co ..."
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EleyRideal diffusion limited reactions (DLR) were performed over different rough surfaces generated by Rain model. Multifractal scaling analysis has been carried out on the reaction probability distribution to investigate the effect of surface roughness on the chemical reactions. The results
Multifractal Scaling, Geometrical Diversity, and Hierarchical Structure in the Cool Interstellar Medium
, 2001
"... Multifractal scaling (MFS) refers to structures that can be described as a collection of interwoven fractal subsets which exhibit powerlaw spatial scaling behavior with a range of scaling exponents (concentration, or singularity, strengths) and dimensions. The existence of MFS implies an underlying ..."
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Cited by 1 (0 self)
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Multifractal scaling (MFS) refers to structures that can be described as a collection of interwoven fractal subsets which exhibit powerlaw spatial scaling behavior with a range of scaling exponents (concentration, or singularity, strengths) and dimensions. The existence of MFS implies
Visualizing multifractal scaling behavior: A simple coloring heuristic
 In Proc. of the 32nd Asilomar conference on signal, systems, and computers
, 1998
"... The selfsimilar or monofractal scaling behavior of a signal can be readily visualized in the time domain by plotting and comparing the signal at many different levels of resolution (i.e., time scales). No comparable visualization techniques appear to be available for qualitatively assessing the pre ..."
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Cited by 6 (3 self)
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the presence of multifractal scaling in a given signal. To help in developing an intuitive understanding of multifractals, we propose in this paper a simple coloring heuristic that gives rise to an effective, time domainbased visualization technique for multifractals. Our approach combines wavelet
Multifractal scaling analysis of autopoisoning reactions over a rough surface
, 2003
"... Decay type diffusionlimited reactions (DLR) over a rough surface generated by a random deposition model were performed. To study the effect of the decay profile on the reaction probability distribution (RPD), multifractal scaling analysis has been carried out. The dynamics of these autopoisoning re ..."
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Decay type diffusionlimited reactions (DLR) over a rough surface generated by a random deposition model were performed. To study the effect of the decay profile on the reaction probability distribution (RPD), multifractal scaling analysis has been carried out. The dynamics of these autopoisoning
Autopoisoning Reactions Over Rough Surface: A Multifractal Scaling Analysis
, 2004
"... ABSTRACT: The effect of surface roughness and number of reaction event on the decay type diffusion limited reaction (DLR) over rough surface of random deposition model was studied to examine the surface morphological effect on the surface reaction. Effect of decay profiles on the reaction probabilit ..."
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probability distribution (RPD) of the reaction was then analyzed with multifractal scaling techniques. The dynamics of these autopoisoning reactions is controlled by the two parameters, namely, the initial sticking probability (Pini) of every site and the decay rate (m). More the rough surface, less
Heterogeneous Reactions Over Fractal Surfaces: A Multifractal Scaling Analysis
, 1996
"... .Monte Carlo simulations of Eley]Rideal ER mechanisms with fixed and varying .sticking probabilities, p, as well as a threestep catalytic reaction TCR over fractal surfaces were performed to examine the morphological effect on the abovementioned reactions. The effect of decay and enhancing profile ..."
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profiles on the reaction probability .distribution RPD for the ER reaction as well as effects of a varying probability of .reaction steps on the normalized selectivity distribution NSD for the threestep reaction were then analyzed by multifractal scaling techniques. For ER with a fixed sticking
Fractal and Multifractal Scaling of Electrical Conduction in Random Resistor Networks
"... Article Outline Glossary I. Definition of the Subject II. Introduction to Current Flows III. Solving Resistor Networks III.1 Fourier Transform III.2 Direct Matrix Solution III.3 Potts Model Connection III.4 \DeltaY and Y\Delta Transforms III.5 Effective Medium Theory IV. Conduction Near the Percol ..."
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Article Outline Glossary I. Definition of the Subject II. Introduction to Current Flows III. Solving Resistor Networks III.1 Fourier Transform III.2 Direct Matrix Solution III.3 Potts Model Connection III.4 \DeltaY and Y\Delta Transforms III.5 Effective Medium Theory IV. Conduction Near the Percolation Threshold
Singularity Detection And Processing With Wavelets
 IEEE Transactions on Information Theory
, 1992
"... Most of a signal information is often found in irregular structures and transient phenomena. We review the mathematical characterization of singularities with Lipschitz exponents. The main theorems that estimate local Lipschitz exponents of functions, from the evolution across scales of their wavele ..."
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Cited by 590 (13 self)
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Most of a signal information is often found in irregular structures and transient phenomena. We review the mathematical characterization of singularities with Lipschitz exponents. The main theorems that estimate local Lipschitz exponents of functions, from the evolution across scales
Multifractality and . . .
 NONLINEAR PROCESSES IN GEOPHYSICS
, 2007
"... Within the complex dynamics of the solar windâ€™s fluctuating plasma parameters, there is a detectable, hidden order described by a chaotic strange attractor which has a multifractal structure. The multifractal spectrum has been investigated using Voyager (magnetic field) data in the outer heliospher ..."
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heliosphere and using Helios (plasma) data in the inner heliosphere. We have also analyzed the spectrum for the solar wind attractor. The spectrum is found to be consistent with that for the multifractal measure of the selfsimilar onescale weighted Cantor set with two parameters describing uniform
Results 1  10
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6,538