Hydrodynamic limit of Robinson-Schensted-Knuth algorithm
Combinatorics
2022-06-01 v2
Abstract
We investigate the evolution in time of the position of a fixed number in the insertion tableau when the Robinson-Schensted-Knuth algorithm is applied to a sequence of random numbers. When the length of the sequence tends to infinity, a typical trajectory after scaling converges uniformly in probability to some deterministic curve.
Cite
@article{arxiv.2005.03147,
title = {Hydrodynamic limit of Robinson-Schensted-Knuth algorithm},
author = {Mikołaj Marciniak},
journal= {arXiv preprint arXiv:2005.03147},
year = {2022}
}