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Culturomics meets random fractal theory: Insights into long-range correlations of social and natural phenomena over the past two centuries
Culturomics meets random fractal theory Insights long-range correlations social natural phenomena two centuries
2012/2/27
Culturomics was recently introduced as the application of high-throughput data collection and analysis to the study of human culture. Here we make use of this data by investigating fluctuations in yea...
Fractal structure of a three dimensional Brownian motion on an attractive plane
dimensional Brownian motion Statistical Mechanics Mathematical Physics
2011/10/9
Abstract: Consider a Brownian particle in three dimensions which is attracted by a plane with a strength proportional to some dimensionless parameter $\alpha$. We investigate the fractal spatial struc...
Fractal derivative multi-scale model of fluid particle transverse accelerations in fully developed turbulence
fully developed homogeneous turbulence probability density function (PDF) anomalous diffusion power-stretched Gaussian distribution
2010/10/22
The Tsallis distribution and the stretched exponential distribution were successfully used to fit the experimental data of turbulence particle acceleration published in Nature (2001), which manifested...