6533b7d7fe1ef96bd1268654
RESEARCH PRODUCT
Multiscaling Properties of Large-Scale Structure in the Universe
Vicent J. MartínezPeter ColesStefano BorganiSilvestre Paredessubject
PhysicsMultidisciplinarygalaxieMultifractal systemGalaxyCosmologyConnection (mathematics)CosmologySet (abstract data type)Distribution (mathematics)statisticsCosmology; galaxies; large-scale structure of the universe; statisticsgalaxiesStatistical physicslarge-scale structure of the universeCluster analysisGalaxy clusterdescription
The large-scale distribution of galaxies and galaxy clusters in the universe can be described in the mathematical language of multifractal sets. A particularly significant aspect of this description is that it furnishes a natural explanation for the observed differences in clustering properties of objects of different density in terms of multiscaling, the generic consequence of the application of a local density threshold to a multifractal set. The multiscaling hypothesis suggests ways of improving upon the traditional statistical measures of clustering pattern (correlation functions) and exploring further the connection between clustering pattern and dynamics.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-09-01 |