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We study statistical properties of the random variables $X_{\sigma}(\pi)$, the number of occurrences of the pattern $\sigma$ in the permutation $\pi$.
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Miklós Bóna, The copies of any permutation pattern are asymptotically normal. arXiv:0712.2792
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E. Rodney Canfield, Svante Janson and Doron Zeilberger, The Mahonian probability distribution on words is asymptotically normal. Adv. Appl. Math. 46
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Brian Nakamura and Doron Zeilberger, Using Noonan-Zeilberger functional equations to enumerate (in polynomial time!) generalized Wilf classes. Adv. in Appl. Math. 50
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Kate Rudolph, Pattern popularity in 132-avoiding permutations. Electron. J. Combin. 20
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Joshua Cooper, Combinatorial Problems I like. internet resource , http://www.math.sc.edu/%7Ecooper/combprob.html
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Brian Nakamura, Approaches for enumerating permutations with a prescribed number of occurrences of patterns. Pure Math. Appl. (PU.M.A.) , to appear
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