Independence of permutation limits at infinitely many scales

Journal of Combinatorial Theory, Series A(2022)

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摘要
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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关键词
Permutation,Permuton,Convergence,Limit,Pattern density
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