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Showing 1 to 1 of 1 for “"KPZ universality class"”.
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Random Sorting Networks, the Directed Landscape, and Random Polynomials
The first part of this thesis concerns random sorting networks. A sorting network is a shortest path from 12···n to n···21 in the Cayley graph of the symmetric group Sn generated by adjacent transpositions. We prove that in a uniform random n-element sorting network σn, all particle trajectories …