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