{
  "id": "1905.04692",
  "version": "v1",
  "published": "2019-05-12T11:05:51.000Z",
  "updated": "2019-05-12T11:05:51.000Z",
  "title": "Color-position symmetry in interacting particle systems",
  "authors": [
    "Alexei Borodin",
    "Alexey Bufetov"
  ],
  "comment": "27 pages, 16 figures",
  "categories": [
    "math.PR",
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "We prove a color-position symmetry for a class of ASEP-like interacting particle systems with discrete time on the one-dimensional lattice. The full space-time inhomogeneity of our systems allows to apply the result to colored (or multi-species) ASEP and stochastic vertex models for a certain class of initial/boundary conditions, generalizing previous results of Amir-Angel-Valko and Borodin-Wheeler. We are also able to use the symmetry, together with previously known results for uncolored models, to find novel asymptotic behavior of the second class particles in several situations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-12T11:05:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interacting particle systems",
      "color-position symmetry",
      "full space-time inhomogeneity",
      "second class particles",
      "stochastic vertex models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}