Ekaterina Toropova: Noise Sensitivity in Last Passage Percolation

Abstract

In this talk, we will discuss the effect of small perturbation in the initial weights on the travel time in last passage percolation between two distant points. In the last passage percolation model we assign non-negative weights to nodes of a square lattice and consider paths between two fixed points that are allowed to move only right or up. The travel time is defined as the maximal total weight collected along such paths. We will show that after applying a certain type of perturbation, the resulting noisy travel time becomes asymptotically uncorrelated with the original travel time.