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arXiv.org e-Print Archive
Preprint . 2020
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2020
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Hydrodynamic limit of Robinson-Schensted-Knuth algorithm

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2020Embargo end date: 01 Jan 2020Publisher:arXiv
Authors: Marciniak, Mikołaj;

doi: 10.48550/arxiv.2005.03147

arXiv: 2005.03147

Hydrodynamic limit of Robinson-Schensted-Knuth algorithm

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.

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Keywords

FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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