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math.PR2014★ 5 cited
Structure of Random 312-Avoiding Permutations
Neal Madras, Lerna Pehlivan
We evaluate the probabilities of various events under the uniform distribution on the set of 312-avoiding permutations of 1,...,N. We derive exact formulas for the probability that…
math.PR2010★ 2 cited
No Feedback Card Guessing for Top to Random Shuffles
Lerna Pehlivan
Consider n cards that are labeled 1 through n with n an even integer. The cards are put face down and their ordering starts with card labeled 1 on top through card labeled n at the…