Hall–Littlewood RSK field
Name
29_2018_442_ReferencePDF.pdf
Size
559.8 KB
Format
Adobe PDF
Checksum (MD5)
33c873f759378073cf7ec33703116f3a
Author(s)
Bufetov, Alexey
Matveev, Konstantin
Date Issued
September 25, 2018
Publisher
Springer International Publishing
Version
Author's final manuscript
Abstract
Abstract
We introduce a randomized Hall–Littlewood RSK algorithm and study its combinatorial and probabilistic properties. On the probabilistic side, a new model—the Hall–Littlewood RSK field—is introduced. Its various degenerations contain known objects (the stochastic six vertex model, the asymmetric simple exclusion process) as well as a variety of new ones. We provide formulas for a rich class of observables of these models, extending existing results about Macdonald processes. On the combinatorial side, we establish analogs of properties of the classical RSK algorithm: invertibility, symmetry, and a “bijectivization” of the skew-Cauchy identity.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00029-018-0442-y
