{
  "id": "2310.06657",
  "version": "v1",
  "published": "2023-10-10T14:30:43.000Z",
  "updated": "2023-10-10T14:30:43.000Z",
  "title": "Rigidity of Lyapunov exponents for derived from Anosov diffeomorphisms",
  "authors": [
    "José Santana Costa",
    "Ali Tahzibi"
  ],
  "comment": "19 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "For a class of volume preserving partially hyperbolic diffeomorphisms (or non-uniformly Anosov) $f:\\mathbb{T}^d \\rightarrow \\mathbb{T}^d$ homotopic to linear Anosov automorphism, we show that the sum of the positive (negative) Lyapunov exponents of $f$ is bounded above (resp. below) by the sum of the positive (resp. negative) Lyapunov exponents of its linearization. We show this for some classes of derived from Anosov (DA) and non-uniformly hyperbolic systems with dominated splitting, in particular for examples described by Bonatti and Viana.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-10T14:30:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lyapunov exponents",
      "anosov diffeomorphisms",
      "volume preserving partially hyperbolic diffeomorphisms",
      "linear anosov automorphism",
      "non-uniformly hyperbolic systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}