Asymptotic behaviour of the containment of certain mesh patterns
Govc, Dejan ; Smith, Jason P., matematik
Predstavimo nekaj rezultatov o deležu permutacij dolžine ▫$n$▫, ki vsebujejo določene mrežaste vzorce, ko ▫$n$▫ narašča, in v nekaterih primerih podamo njihovo eksaktno oštevilčenje. V posebnem se ...osredotočimo na mrežaste vzorce, v katerih so celotne vrstice ali stolpci osenčeni. Dokažemo nekaj splošnih rezultatov, ki veljajo za mrežaste vzorce poljubne dolžine in nato obravnavamo mrežaste vzorce dolžine štiri. Pomembna posledica teh rezultatov je, da pokažemo, da lahko delež permutacij, ki vsebujejo mrežasti vzorec, zavzame širok razpon vrednosti med 0 in 1.
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