Time covariance (and stationarity) for last passage percolation models
Date
Thursday, March 7, 2019 16:00 - 17:00
Speaker
Alessandra Occelli (Uni Bonn)
Location
Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Laszlo Erdös
Contact
We study time correlations of last passage percolation (LPP), a model in the Kardar-Parisi-Zhang universality class, with different geometries: step, flat, stationary and general random. We prove the convergence of the covariances of the LPP at two different times to a limiting expression given in terms of Airy processes.
Furthermore, we prove the behaviour of the covariances when the two times are close to each other, conjectured in a work of Ferrari and Spohn.
If time permits, we will present a stationary version of the LPP with half-space geometry and see how the previous results could be extended to this model.