Morpho-statistical characterisation of the spatial galaxy distribution through Gibbs point processes

Abstract

This paper proposes a morpho-statistical characterisation of the galaxy distribution through spatial statistical modelling based on inhomogeneous Gibbs point processes. The galaxy distribution is supposed to exhibit two components. The first one is related to the major geometrical features exhibited by the observed galaxy field, here, its corresponding filamentary pattern. The second one is related to the interactions exhibited by the galaxies. Gibbs point processes are statistical models able to integrate these two aspects in a probability density, controlled by some parameters. Several such models are fitted to real observational data via the ABC Shadow algorithm. This algorithm provides simultaneous parameter estimation and posterior based inference, hence allowing the derivation of the statistical significance of the obtained results.

arXiv comment13 pages, 5 figures

References in corpus (32)

• Baryonic Features in the Matter Transfer Function
• Halo Models of Large Scale Structure
• The Eighth Data Release of the Sloan Digital Sky Survey: First Data from SDSS-III
• The Dark Side of the Halo Occupation Distribution
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• Galaxy Clustering in the Completed SDSS Redshift Survey: The Dependence on Color and Luminosity
• The Halo Occupation Distribution and the Physics of Galaxy Formation
• On Departures From a Power Law in the Galaxy Correlation Function
• Detecting filamentary pattern in the cosmic web: a catalogue of filaments for the SDSS
• Flux- and volume-limited groups/clusters for the SDSS galaxies: catalogues and mass estimation
• The DEEP2 Galaxy Redshift Survey: Color and Luminosity Dependence of Galaxy Clustering at z~1
• Model-based Clustering
• Virial masses of galactic halos from galaxy-galaxy lensing: theoretical modeling and application to SDSS
• Shapefinders: A new shape diagnostic for large scale structure
• Groups and clusters of galaxies in the SDSS DR8. Value-added catalogues
• Scaling Laws in the Distribution of Galaxies
• New Interpretable Statistics for Large Scale Structure Analysis and Generation
• The VIMOS-VLT Deep Survey - The evolution of galaxy clustering per spectral type to z~1.5
• Scaling in the Universe
• Inter-cluster Filaments of Galaxies Programme: Abundance and Distribution of Filaments in the 2dFGRS Catalogue
• Filaments in observed and mock galaxy catalogues
• Reliability of the detection of the Baryon Acoustic Peak
• Multiscale probability mapping: groups, clusters and an algorithmic search for filaments in SDSS
• Galaxy filaments as pearl necklaces
• A global descriptor of spatial pattern interaction in the galaxy distribution
• Bayesian group finder based on marked point processes. Method and feasibility study using the 2MRS data set
• The best fit for the observed galaxy Counts-in-Cell distribution function
• The ALHAMBRA survey: evolution of galaxy clustering since $z\sim 1$
• The ALHAMBRA survey: evolution of galaxy spectral segregation
• Joint constraints on galaxy bias and ${\sigma }_8$ through the N-pdf of the galaxy number density
• Gibbs Point Process Model for Young Star Clusters in M33