{ "id": "2110.07264", "version": "v2", "published": "2021-10-14T11:15:35.000Z", "updated": "2023-05-22T13:59:14.000Z", "title": "An upper bound on the dimension of the Rauzy gasket", "authors": [ "Mark Pollicott", "Benedict Sewell" ], "categories": [ "math.DS" ], "abstract": "In this note, we give an elementary proof that the Hausdorff dimension of the Rauzy gasket is at most 1.7407, improving upon results of Avila et al. and Fougeron.", "revisions": [ { "version": "v2", "updated": "2023-05-22T13:59:14.000Z" } ], "analyses": { "keywords": [ "rauzy gasket", "upper bound", "elementary proof", "hausdorff dimension" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }