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- W1924956554 abstract "Abstract We evaluate the probabilities of various events under the uniform distribution on the set of 312‐avoiding permutations of . We derive exact formulas for the probability that the i th element of a random permutation is a specific value less than i , and for joint probabilities of two such events. In addition, we obtain asymptotic approximations to these probabilities for large N when the elements are not close to the boundaries or to each other. We also evaluate the probability that the graph of a random 312‐avoiding permutation has k specified decreasing points, and we show that for large N the points below the diagonal look like trajectories of a random walk. © 2015 Wiley Periodicals, Inc. Random Struct. Alg., 49, 599–631, 2016" @default.
- W1924956554 created "2016-06-24" @default.
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- W1924956554 date "2015-09-08" @default.
- W1924956554 modified "2023-10-17" @default.
- W1924956554 title "Structure of random 312-avoiding permutations" @default.
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- W1924956554 doi "https://doi.org/10.1002/rsa.20601" @default.
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