{
  "id": "math/0102219",
  "version": "v2",
  "published": "2001-02-28T01:10:16.000Z",
  "updated": "2001-05-23T22:12:56.000Z",
  "title": "Tracking eigenvalues to the frontier of moduli space I: Convergence and spectral accumulation",
  "authors": [
    "Chris Judge"
  ],
  "categories": [
    "math.DG",
    "math.SP"
  ],
  "abstract": "We study the limiting behavior of eigenfunctions/eigenvalues of the Laplacian of a family of Riemannian metrics that degenerates on a hypersurface. Our results generalize earlier work concerning the degeneration of hyperbolic surfaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-05-23T22:12:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58G25",
      "35P20"
    ],
    "keywords": [
      "moduli space",
      "spectral accumulation",
      "tracking eigenvalues",
      "convergence",
      "results generalize earlier work concerning"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......2219J"
    }
  }
}