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The Scale of Homogeneity in the Las Campanas Redshift Survey
Author(s) -
Luca Amendola,
Emilia Palladino
Publication year - 1999
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/311936
Subject(s) - homogeneity (statistics) , homogeneous , fractal , normalization (sociology) , redshift , geography , physics , statistical physics , geology , astrophysics , statistics , mathematics , galaxy , mathematical analysis , sociology , anthropology
We analyse the Las Campanas Redshift Survey using the integrated conditionaldensity (or density of neighbors) in volume-limited subsamples up tounprecedented scales (200 Mpc/$h$) in order to determine without ambiguity thebehavior of the density field. We find that the survey is well described by afractal up to 20-30 Mpc/$h$, but flattens toward homogeneity at larger scales.Although the data are still insufficient to establish with high significancethe expected homogeneous behavior, and therefore to rule out a fractal trend tolarger scales, a fit with a CDM-like spectrum with high normalization wellrepresents the data.Comment: 8 pages, 3 figures, accepted on Ap.J. Letter

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