Combinatorics Reading Seminar: Limit shape for random partitions

Seminar | September 18 | 11:10 a.m.-12:10 p.m. | 748 Evans Hall

 David Keating, UC Berkeley

 Department of Mathematics

By following the work of Logan-Shepp and Kerov-Vershik, we will derive limit shape for partitions under the Plancherel measure as the size of the partition goes to infinity. As a consequence, we will understand some asymptotics of uniformly random permutations. If time permits, we will discuss Hammerley's interacting particle process.