Abstract: The connection between the geometry of geodesics and moderate deviation estimates in planar stochastic growth models like fist and last passage percolation is well-known. In this talk I shall discuss, with several examples, how deviation estimates with varying precisions can be used to answer various questions about geodesics and the large scale geometry of the underlying space-time landscape in the context of the exactly solvable model of exponential last passage percolation.
Moderate deviations and the space time geometry in integrable planar last passage percolation
11.05.2022 16:45 - 17:45
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli
Location:
IST Austria, Heinzel SR / Ground floor, Office Bldg West (I21.EG.101)