English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this work, we develop a statistical analysis of the large-scale clusteringof matter in the Universe from the fractal point of view using galaxies fromthe Ninth Sloan Digital Sky Survey (SDSS) Data Release (DR9). From the totalset of galaxies, a magnitude-limited sample of galaxies with redshifts in therange 0 < z < 0.15 was created. The sample covers the largest completelyconnected area of the celestial sphere within the catalogue, with limits inright ascension from 120 to 240 degrees and declination from 0 to 60 degrees,which is a region that includes the largest galactic samples that have beenstudied from the fractal viewpoint to date. The sample contains 164,168galaxies.  Using the sliding-window technique, the multifractal dimension spectrum andits dependence on radial distance are determined. This generalisation of theconcept of fractal dimension is used to analyse large-scale clustering ofmatter in complex systems. Likewise, the lacunarity spectrum, which is aquantity that complements the characterisation of a fractal set by quantifyinghow the set fills the space in which it is embedded, is determined.  Using these statistical tools, we find that the clustering of galaxiesexhibits fractal behaviour that depends on the radial distance for allcalculated quantities. A transition to homogeneity is not observed in thecalculation of the fractal dimension of galaxies; instead, the galaxies exhibita multifractal behaviour whose dimensional spectrum does not exceed thephysical spatial dimension for radial distances up to 180 Mpc/h from eachcentre within the sample. Our results and their implications are discussed inthe context of the formation of large-scale structures in the Universe.

Multifractal analysis and lacunarity spectrum of the galaxies of the ninth Sloan Digital Sky Survey (SDSS) data release