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arXiv · 2005.14397

Poisson limit of bumping routes in the Robinson-Schensted correspondence

Łukasz Maślanka·Mikołaj Marciniak·Piotr Śniady
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Abstract

We consider the Robinson-Schensted-Knuth algorithm applied to a random input and investigate the shape of the bumping route (in the vicinity of the $y$-axis) when a specified number is inserted into a large Plancherel-distributed tableau. We show that after a projective change of the coordinate system the bumping route converges in distribution to the Poisson process.

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Łukasz Maślanka, Mikołaj Marciniak, Piotr Śniady. 2021-06-11. Poisson limit of bumping routes in the Robinson-Schensted correspondence. https://doi.org/10.1007/s00440-021-01084-y

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