{ "id": "2205.15590", "version": "v1", "published": "2022-05-31T08:06:29.000Z", "updated": "2022-05-31T08:06:29.000Z", "title": "SRB measures for hyperbolic attractor in low regularity", "authors": [ "Houssam Boukhecham" ], "categories": [ "math.DS" ], "abstract": "We consider a $C^1$ hyperbolic attractor, and prove the existence of a physic measure provided that the differential satisfies some summability condition which is weaker than H{\\\"o}lder continuity.", "revisions": [ { "version": "v1", "updated": "2022-05-31T08:06:29.000Z" } ], "analyses": { "keywords": [ "hyperbolic attractor", "low regularity", "srb measures", "differential satisfies" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }