{
  "id": "2311.09968",
  "version": "v1",
  "published": "2023-11-16T15:41:42.000Z",
  "updated": "2023-11-16T15:41:42.000Z",
  "title": "Gradient Flow in Morse and Analytic Settings",
  "authors": [
    "Leyang Zhang"
  ],
  "comment": "14 pages in-class project report",
  "categories": [
    "math.DS"
  ],
  "abstract": "This report is actually the in-class project of MATH489 FA2022, Dynamics and Differential Equations in University of Illinois Urbana-Champaign. The report is mainly about gradient flow of a Morse-type functions (Morse functions, Morse--Bott functions, etc.) and analytic functions. Several small results that I develop during the reading are included as well. They have a focus on the convergence, limiting rate and direction of gradient flow in either setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-16T15:41:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gradient flow",
      "analytic settings",
      "differential equations",
      "small results",
      "illinois urbana-champaign"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}