A Random Walk Model for Spatial Galaxy Distribution

A new statistical model of spatial distribution of observed galaxies is described. Statistical correlations are involved by means of Markov chain ensembles, whose parameters are extracted from the observable power spectrum by adopting of the Uchaikin-Zolotarev ansatz. Markov chain trajectories with the Levy-Feldheim distributed step lengths form the set of nodes imitating the positions of galaxy. The model plausibly reproduces the two-point correlation functions, cell-count data and some other important properties. It can effectively be used in the post-processing of astronomical data for cosmological studies.

Automated summary

A new statistical model for the spatial distribution of observed galaxies is described, using Markov chain ensembles and parameters extracted from the observable power spectrum. The model effectively reproduces two-point correlation functions and cell-count data, showing potential for use in cosmological studies post-processing of astronomical data.