Environment seen from infinite geodesics in Liouville quantum gravity

Abstract: In this second part, I shall talk about a recent result (joint work with Manan Bhatia and Shirshendu Ganguly) on environments seen from infinite geodesics in the LQG metric. The question whether the underlying noise seen from an appropriately chosen random point on an infinite geodesic originated in the context of planar first and last passage percolation models. We shall briefly review some recent progress in those models before turning our attention to a natural formulation of the question in the context of LQG. We shall discuss results establishing the existence of a limiting environment and describing some basic properties of the limiting environment.

probability

Audience: advanced learners

Bangalore Probability Seminar

Series comments: The link to zoom meeting can be found on the seminar's google calendar - www.isibang.ac.in/~d.yogesh/BPS.html