Independence of permutation limits at infinitely many scales
Combinatorics
2021-10-20 v3 Probability
Abstract
We introduce a new natural notion of convergence for permutations at any specified scale, in terms of the density of patterns of restricted width. In this setting we prove that limits may be chosen independently at a countably infinite number of scales.
Keywords
Cite
@article{arxiv.2005.11568,
title = {Independence of permutation limits at infinitely many scales},
author = {David Bevan},
journal= {arXiv preprint arXiv:2005.11568},
year = {2021}
}
Comments
18 pages (v2 is an extensive expansion and revision)