Pattern-avoiding Permutations

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Lerna Pehlivan
Lecturer in Mathematics

My research interests include combinatorics, representation theory of symmetric groups, and analytic number theory.

Publications

Large deviations for permutations avoiding monotone patterns

For a given permutation $\tau$, let $P_N^{\tau}$ be the uniform probability distribution on the set of $N$-element permutations …

Structure of random 312-avoiding permutations

We evaluate the probabilities of various events under the uniform distribution on the set of $312$-avoiding permutations of …