Thresholds for patterns in random permutations with a given number of inversions
Abstract
We explore how the asymptotic structure of a random permutation of [n] with m inversions evolves, as m increases, establishing thresholds for the appearance and disappearance of any classical, consecutive or vincular pattern. The threshold for the appearance of a classical pattern depends on the greatest number of inversions in any of its sum indecomposable components.
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