Sep 14 – 16, 2020
SISSA
Europe/Rome timezone

Sorting networks, staircase Young tableaux and last passage percolation

Sep 16, 2020, 10:00 AM
50m
Chairman: Simonetta Abenda

Chairman: Simonetta Abenda

Scientific Programme

Speaker

Fabio Cunden (SISSA)

Description

I will present new distributional identities relating three random processes: the oriented swap process on n particles, the corner growth process, and the last passage percolation model. The study of these identities leads to interesting combinatorics and involves tools such as the RSK, Burge, and Edelman-Greene correspondences. One of the identity provides precise finite-n and asymptotic predictions on the distribution of the absorbing time of the oriented swap process.
This talk is based on joint works with Elia Bisi, Shane Gibbons and Dan Romik (arXiv:2003.03331, 2005.02043).

Primary author

Fabio Cunden (SISSA)

Presentation materials