Patterns in Random Permutations Avoiding Some Sets of Multiple Patterns
نویسندگان
چکیده
منابع مشابه
Patterns in Random Permutations Avoiding
We consider a random permutation drawn from the set of 132-avoiding permutations of length n and show that the number of occurrences of another pattern σ has a limit distribution, after scaling by n where λ(σ) is the length of σ plus the number of descents. The limit is not normal, and can be expressed as a functional of a Brownian excursion. Moments can be found by recursion.
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ژورنال
عنوان ژورنال: Algorithmica
سال: 2019
ISSN: 0178-4617,1432-0541
DOI: 10.1007/s00453-019-00586-5