Information of Structures in Galaxy Distribution | Zendy

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Information of Structures in Galaxy Distribution

Author(s) -

Fan Fang

Publication year - 2006

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 - 10.1086/503759

Subject(s) - multifractal system , galaxy , physics , statistical physics , measure (data warehouse) , multiplicative function , distribution (mathematics) , spitzer space telescope , computer science , astrophysics , mathematics , telescope , data mining , fractal , mathematical analysis

We introduce an information-theoretic measure, the Renyi information, todescribe the galaxy distribution in space. We discuss properties of theinformation measure, and demonstrate its relationship with the probabilitydistribution function and multifractal descriptions. Using the First LookSurvey galaxy samples observed by the Infrared Array Camera onboard SpitzerSpace Telescope, we present measurements of the Renyi information, as well asthe counts-in-cells distribution and multifractal properties of galaxies inmid-infrared wavelengths. Guided by multiplicative cascade simulation based ona binomial model, we verify our measurements, and discuss the spatial selectioneffects on measuring information of the spatial structures. We derive structurescan functions at scales where selection effects are small for the Spitzersamples. We discuss the results, and the potential of applying the Renyiinformation to measuring other spatial structures.Comment: 25 pages, 8 figures, submitted to ApJ; To appear in The Astrophysical Journal 2006, 644, 678 (June 20th

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