Interval estimation of the mass fractal dimension for anisotropic sampling percolation clusters
P.V. Moskalev, K.V. Grebennikov, V.V. Shitov
TL;DR
This paper investigates how to accurately estimate the mass fractal dimension of anisotropic percolation clusters by analyzing confidence interval dependencies in the site percolation model.
Contribution
It introduces a method to analyze the confidence interval parameters for anisotropic sampling clusters in percolation theory.
Findings
Identified key dependencies affecting confidence interval estimation.
Provided insights into anisotropic cluster properties in percolation.
Enhanced understanding of fractal dimension estimation in anisotropic systems.
Abstract
This report focuses on the dependencies for the center and radius of the confidence interval that arise when estimating the mass fractal dimensions of anisotropic sampling clusters in the site percolation model.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Mathematical Dynamics and Fractals · advanced mathematical theories