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Showing 1 to 2 of 2 for “"Young tableau"”.
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Rectification of Composition Tableaux
… for rectifying one cell in a composition tableau. We then describe a generalization of this rectification process. The generalization is from one cell in the first column to any number of cells in the first column, provided they are bottom-justified. We show this rectification of a …
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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 …