Filaments and voids in planar central configurations

2021/10/19 by Manuel R. Izquierdo, Izquierdo, Manuel R. · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Genome Rearrangement Algorithms #Optimization and Search Problems #Point processes and geometric inequalities #physics.class-ph

paper · pdf · doi:10.48550/arxiv.2110.09855

9 pages, 7 figures

arxiv created 2021/10/19 · openalex publication_date 2021/10/19 · arxiv updated 2021/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have numerically computed planar central configurations of n=1000 bodies of equal masses. A classification of central configurations is proposed based on the numerical value of the complexity, C. The main result of our work is the discovery of filaments and voids in planar central configurations with random complexity values. Suggestions are given for future work in the context of central configurations with random complexity values.

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• Scale Invariance, Variety and Central Configurations

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