Peter Nejjar: Symmetric last passage percolation and Schur Processes
Tid: Ti 2018-04-24 kl 15.15 - 16.15
Plats: Room F11, KTH
Medverkande: Peter Nejjar
Abstract: We consider the last passage percolation (LPP) model on the square lattice with symmetric weights.
Tuning the weights on the diagonal and the endpoint, we obtain a crossover between the Tracy-Widom GUE, GOE and GSE distributions from random matrix theory. The LPP time can be seen as a marginal of a certain point process - the Schur process with free boundaries - and we shall explain this connection and how it can be used to obtain our results. Joint work with Jérémie Bouttier, Dan Betea and Mirjana Vuletic.