香蕉视频

Title: The directed landscape

Abstract: I will describe the construction of the full scaling limit
of (Brownian) last passage percolation: the directed landscape. The
directed landscape can be thought of as a random scale-invariant
`directed' metric on the plane, and last passage paths converge to
directed geodesics in this metric. The directed landscape is expected
to be a universal scaling limit for general last passage and random
growth models (e.g. TASEP, the KPZ equation, the longest increasing
subsequence in a random permutation). Joint work with Janosch Ortmann
and Balint Virag.