Independence of permutation limits at infinitely many scales

Bevan, David (2022) Independence of permutation limits at infinitely many scales. Journal of Combinatorial Theory. Series A, 186. 105557. ISSN 0097-3165 (https://doi.org/10.1016/j.jcta.2021.105557)

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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.

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