{
  "id": "2209.00982",
  "version": "v1",
  "published": "2022-09-02T12:22:33.000Z",
  "updated": "2022-09-02T12:22:33.000Z",
  "title": "Measure of maximal entropy for finite horizon Sinai billiard flows",
  "authors": [
    "Viviane Baladi",
    "Jérôme Carrand",
    "Mark Demers"
  ],
  "categories": [
    "math.DS",
    "nlin.CD"
  ],
  "abstract": "Using recent work of Carrand on equilibrium states for the billiard map, and bootstrapping via a \"leapfrogging\" method from a previous article of Baladi and Demers, we construct the unique measure of maximal entropy for two-dimensional finite horizon Sinai (dispersive) billiard flows (and show it is Bernoulli), assuming that the topological entropy of the flow is strictly larger than s_0 log 2 where 0<s_0<1 quantifies the recurrence to singularities. This bound holds in many examples (it is expected to hold generically).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-02T12:22:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C83",
      "37D35",
      "37C30"
    ],
    "keywords": [
      "finite horizon sinai billiard flows",
      "maximal entropy",
      "two-dimensional finite horizon sinai",
      "equilibrium states",
      "billiard map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}