One-point statistics of the Lagrangian displacement field

TL;DR

This paper discusses the statistical properties of the Lagrangian displacement field in cosmic structure formation, providing insights into its one-point distribution in the mildly non-linear regime.

Contribution

It extends previous work on Lagrangian perturbation theory by analyzing the one-point statistics of the displacement field in the mildly non-linear regime.

Findings

Characterization of the one-point distribution of the displacement field

Insights into the non-linear evolution of cosmic structures

Refinement of perturbation theory models

Abstract

This document is an addendum to "One-point remapping of Lagrangian perturbation theory in the mildly non-linear regime of cosmic structure formation" (arXiv:1305.4642).