Reply to Melott's Comment on ``Discreteness Effects in Lambda Cold Dark Matter Simulations: A Wavelet-Statistical View'' by Romeo et al

TL;DR

This paper defends the original findings on discreteness effects in cosmological simulations against Melott's critique, clarifying misunderstandings and emphasizing the novelty of their analysis approach.

Contribution

The authors clarify their unique wavelet-statistical method and counter Melott's claim that their results are essentially the same as previous work.

Findings

Rebuttal of Melott's interpretation of their results

Clarification of the novel wavelet-statistical approach

Emphasis on the distinctiveness of their analysis method

Abstract

Melott has made pioneering studies of the effects of particle discreteness in N-body simulations, a fundamental point that needs careful thought and analysis since all such simulations suffer from numerical noise arising from the use of finite-mass particles. Melott (arXiv:0804.0589) claims that the conclusions of our paper (arXiv:0804.0294) are essentially equivalent to those of his earlier work. Melott is wrong: he has jumped onto one of our conclusions and interpreted that in his own way. Here we point out the whys and the wherefores.