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Informace o publikaci
Quasirandom permutations are characterized by 4-point densities
Autoři | |
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Rok publikování | 2013 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | GEOMETRIC AND FUNCTIONAL ANALYSIS |
Citace | |
Doi | http://dx.doi.org/10.1007/s00039-013-0216-9 |
Klíčová slova | Permutations; Quasirandomness; Permutation limits; Subpermutation density |
Popis | For permutations and of lengths , let be the probability that the restriction of to a random -point set is (order) isomorphic to . We show that every sequence of permutations such that and for every 4-point permutation is quasirandom (that is, for every ). This answers a question posed by Graham. |