{
  "id": "1502.07861",
  "version": "v1",
  "published": "2015-02-27T10:50:32.000Z",
  "updated": "2015-02-27T10:50:32.000Z",
  "title": "Limits of functions on groups",
  "authors": [
    "Balazs Szegedy"
  ],
  "categories": [
    "math.CO",
    "math.FA",
    "math.GR"
  ],
  "abstract": "Our goal is to develop a limit approach for a class of problems in additive combinatorics that is analogous to the limit theory of dense graph sequences. We introduce metric, convergence and limit objects for functions on groups and for measurable functions on compact abelian groups. As an application we find exact minimizers for densities of linear configurations of complexity $1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-27T10:50:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dense graph sequences",
      "compact abelian groups",
      "limit objects",
      "limit approach",
      "limit theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}