Approximate analytical expression for the topological percolation constant

In this paper, we obtain an approximate analytical expression for the topological percolation constant, which characterizes the most general topological properties of fractals, primarily such as connectivity near the percolation threshold.

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Publication Details

Journal
Proceedings of the National Academy of Sciences of Belarus Physics and Mathematics Series
Published
2025-03-26
DOI
https://doi.org/10.29235/1561-2430-2025-61-1-17-22
Primary Topic
Theoretical and Computational Physics
Type
article
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article

Approximate analytical expression for the topological percolation constant

P. S. Grinchuk
Proceedings of the National Academy of Sciences of Belarus Physics and Mathematics Series
Theoretical and Computational Physics
article

Approximate analytical expression for the topological percolation constant

P. S. Grinchuk
article en

Abstract

In this paper, we obtain an approximate analytical expression for the topological percolation constant, which characterizes the most general topological properties of fractals, primarily such as connectivity near the percolation threshold.

Proceedings of the National Academy of Sciences of Belarus Physics and Mathematics SeriesVol. 61(1)
National Academy of Sciences of Belarus (BY), A.V. Luikov Heat and Mass Transfer Institute (BY)
Openalex Percentile: Top 96%
Theoretical and Computational Physics
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