Lagrangian reconstruction of cosmic velocity fields

TL;DR

This paper introduces a Lagrangian reconstruction method for cosmic velocity fields based on the Euler equation, utilizing a minimization algorithm to improve cosmological velocity data analysis.

Contribution

It presents a novel Lagrangian approach to reconstruct cosmic velocity fields from galaxy redshift data, including an algorithm and error modeling.

Findings

Effective reconstruction of velocity fields demonstrated

Boundary effects in observational data analyzed

Statistical error model proposed

Abstract

We discuss a Lagrangian reconstruction method of the velocity field from galaxy redshift catalog that takes its root in the Euler equation. This results in a ``functional'' of the velocity field which must be minimized. This is helped by an algorithm solving the minimization of cost-flow problems. The results obtained by applying this method to cosmological problems are shown and boundary effects happening in real observational cases are then discussed. Finally, a statistical model of the errors made by the reconstruction method is proposed.