{
  "id": "1808.09319",
  "version": "v1",
  "published": "2018-08-28T14:18:53.000Z",
  "updated": "2018-08-28T14:18:53.000Z",
  "title": "Gradient Flows for Frame Potentials on the Wasserstein Space",
  "authors": [
    "Clare Wickman",
    "Kasso Okoudjou"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we bring together some of the key ideas and methods of two very lively fields of mathematical research, frame theory and optimal transport, using the methods of the second to answer questions posed in the first. In particular, we construct gradient flows in the Wasserstein space $P_{2+\\epsilon}(\\mathbb{R}^d)$ for potentials of interest in frame theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-28T14:18:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "60D05",
      "94A12"
    ],
    "keywords": [
      "wasserstein space",
      "frame potentials",
      "frame theory",
      "construct gradient flows",
      "optimal transport"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}