Square permutations are typically rectangular
نویسندگان
چکیده
منابع مشابه
On Square-Free Permutations
A permutation is square-free if it does not contain two consecutive factors of length more than one that coincide in the reduced form (as patterns). We prove that the number of square-free permutations of length n is nn(1−εn) where εn → 0 when n → ∞. A permutation of length n is crucial with respect to squares if it avoids squares but any extension of it to the right, to a permutation of length...
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A permutation is square-free if it does not contain two consecutive factors of length more than one that coincide in the reduced form (as patterns). We prove that the number of square-free permutations of length n is nn(1−εn) where εn → 0 when n →∞.
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2020
ISSN: 1050-5164
DOI: 10.1214/19-aap1555