{
  "id": "2302.01914",
  "version": "v1",
  "published": "2023-02-03T18:48:53.000Z",
  "updated": "2023-02-03T18:48:53.000Z",
  "title": "Some hyperbolicity revisited and robust transitivity",
  "authors": [
    "Luis Pedro Piñeyrúa"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this article we revisit the notion of \\textit{Some Hyperbolicity} introduced by Pujals and Sambarino in \\cite{PuSa}. We present a more general definition, that in particular can be applied to the symplectic context (something that the previous couldn't). As an application we construct $C^1$ robustly transitive derived from Anosov diffeomorphisms with mixed behaviour on center leaves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-03T18:48:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "robust transitivity",
      "hyperbolicity",
      "general definition",
      "symplectic context",
      "anosov diffeomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}