2000/05/15 by A. F. F. Teixeira, Teixeira, A. F. F. · 1 citation
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Astrophysics (astro-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Scientific Research and Discoveries #astro-ph #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0005052
13 pages, 16 figures, corrected commands for graphics
openalex publication_date 2000/05/15 · arxiv created 2000/10/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a circle (an S1) with circumference 1 assume m objects distributed pseudo-randomly. In the universal covering R1 assume the objects replicated accordingly, and take an interval L>1. In this interval, make the normalized histogram of the pair separations which are not an integer. The theoretical (expected) such histogram is obtained in this report, as well as its difference to a similar histogram for non-replicated objects. The whole study is of interest for the cosmic crystallography.