Hydrodynamic limit of Robinson-Schensted-Knuth algorithm
arXiv:2005.03147 · doi:10.1002/rsa.21016
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.