# Pattern-avoiding Permutations

##### 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 …