Reply to the comment of T.Gilbert and D.P.Sanders on "Capturing correlations in chaotic diffusion by approximation methods"

TL;DR

This paper is a reply to Gilbert and Sanders' comment on our previous work, addressing their criticisms and clarifying our original findings on capturing correlations in chaotic diffusion.

Contribution

It clarifies and defends the original approximation methods for chaotic diffusion against recent criticisms, reaffirming their validity.

Findings

Refutes Gilbert and Sanders' criticism

Reaffirms the effectiveness of the original approximation methods

Summarizes the previous discussion on chaotic diffusion

Abstract

This is a reply to the comment by Gilbert and Sanders [arXiv:1111.6271 (2011)]. We point out that their comment is a follow-up of a previous discussion which we briefly summarize before we refute their new criticism.