scholarly journals Self-similar random vector fields and their wavelet analysis

2009 ◽  
Author(s):  
Pouya Dehghani Tafti ◽  
Michael Unser
Keyword(s):  
Wavelet Analysis ◽  
Random Vector ◽  
Vector Fields ◽  
Self Similar

scholarly journals Turbulence and magnetic fields in molecular clouds

1991 ◽  
Vol 147 ◽  
pp. 83-92
Author(s):  
R. N. Henriksen
Keyword(s):  
Magnetic Fields ◽  
Wavelet Analysis ◽  
Molecular Clouds ◽  
Fractal Structure ◽  
Compressible Turbulence ◽  
Dynamo Theory ◽  
First Results ◽  
Self Similar

in this paper I first review some of the simple structural concepts associated with compressible turbulence. In particular the hierarchical or self-similar fractal structure to be expected is formulated in a manner readily compared to the observations, and to previous work. In the next section I present the first results of a wavelet analysis on molecular clouds, which seem to comfirm the hierarchical scaling. I conclude with an extention of the theory to include magnetic fields. This latter theory represents an alternative to the more conventional dynamo theory.

Wavelet analysis of polarization maps of polycrystalline biological fluids networks

2011 ◽  
Vol 19 (4) ◽  
Author(s):  
Y. Ushenko
Keyword(s):  
Synovial Fluid ◽  
Wavelet Analysis ◽  
Optical Model ◽  
Biological Fluids ◽  
Physiological State ◽  
Small Scale ◽  
Self Similar ◽  
Human Joints ◽  
Network Transformation ◽  
Spectrum Structure

AbstractThe optical model of human joints synovial fluid is proposed. The statistic (statistic moments), correlation (autocorrelation function) and self-similar (Log-Log dependencies of power spectrum) structure of polarization two-dimensional distributions (polarization maps) of synovial fluid has been analyzed. It has been shown that differentiation of polarization maps of joint synovial fluid with different physiological state samples is expected of scale-discriminative analysis. To mark out of small-scale domain structure of synovial fluid polarization maps, the wavelet analysis has been used. The set of parameters, which characterize statistic, correlation and self-similar structure of wavelet coefficients’ distributions of different scales of polarization domains for diagnostics and differentiation of polycrystalline network transformation connected with the pathological processes, has been determined.

A Lévy Based Approach to Random Vector Fields: With a View Towards Turbulence

2014 ◽  
Vol 15 (7-8) ◽  
Author(s):  
Emil Hedevang ◽  
Jürgen Schmiegel
Keyword(s):  
Random Vector ◽  
Vector Fields ◽  
Vector Valued ◽  
Deterministic Matrix

AbstractUsing integration of deterministic, matrix-valued functions with respect to vector-valued, volatility modulated Lévy bases, we construct random vector fields on

Covariance Models for Divergence-Free and Curl-Free Random Vector Fields

2012 ◽  
Vol 28 (3) ◽  
pp. 433-451 ◽  
Author(s):  
Michael Scheuerer ◽  
Martin Schlather
Keyword(s):  
Random Vector ◽  
Vector Fields ◽  
Covariance Models ◽  
Divergence Free
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