Added follow-up work to the refined inversions paper

Author: ulfarsson

_papers/2012-01-01-refinvs.md

@@ -24,6 +24,10 @@ paths, and marked meshed patterns. Finally, we use non-inversion sums to show
 that for every number n>34, there is a permutation such that the dot product of
 that permutation and the identity permutation (of the same length) is n.
 
+## Updates
+- Jennifer Elder, Nadia Lafrenière, Erin McNicholas, Jessica Striker and Amanda Welch prove that the cosine map is a homomesy in their study of the [FindStat database](http://www.findstat.org) in the preprint [Homomesies on permutations - an analysis of maps and statistics in the FindStat database](https://arxiv.org/pdf/2206.13409.pdf)
+- Nathan Chapelier-Laget and Thomas Gerber find connections between the topics in our paper to entropy and atomic length in the preprint [Atomic length in Weyl groups](https://arxiv.org/abs/2211.12359v1)
+
 ## Download the paper
 - [{{ page.journal }}](http://www.combinatorics.org/ojs/index.php/eljc/article/view/v19i1p29)
 - [arXiv](http://arxiv.org/abs/1106.1995)