BIRS Workshop Lecture Videos
The scaling limit of the longest increasing subsequence Dauvergne, Duncan
I will describe a framework for proving convergence to the directed landscape, the central limit object in the KPZ universality class. The directed landscape is a random scale-invariant `directed' metric on the plane. One highlight of this work is that the scaling limit of the longest increasing subsequence in a uniformly random permutation is a geodesic in the directed landscape. Joint work with Balint Virag.
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