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The fractal structure of cellular automata on Abelian groups
Discrete Mathematics (cs.DM) Quantum Physics (quant-ph)
2010/11/8
It is well-known that the spacetime diagrams of some cellular automata have a fractal structure: for instance Pascal's triangle modulo 2 generates a Sierpinski triangle. Explaining the fractal structu...
Analytical Determination of Fractal Structure in Stochastic Time Series
Fractal Structure Stochastic Time Series
2010/4/8
Current methods for determining whether a time series exhibits fractal structure (FS) rely on subjective assessments on estimators of the Hurst exponent (H). Here, I introduce the Bayesian Assessment ...
Porosity-Size Relationship of Drilling Mud Flocs: Fractal Structure
Drilling mud Flocs Fractal Porosity
2011/12/29
The porosities of flocs formed from a used drilling mud were determined by measuring sizes and settling speeds of individual flocs. These flocs were produced in a Couette-type flocculator under a vari...