{ "id": "2102.11061", "version": "v1", "published": "2021-02-22T14:35:58.000Z", "updated": "2021-02-22T14:35:58.000Z", "title": "Aubry-Mather theory on graphs", "authors": [ "Antonio Siconolfi", "Alfonso Sorrentino" ], "comment": "51 pages", "categories": [ "math.DS", "math.AP" ], "abstract": "We formulate Aubry-Mather theory for Hamiltonians/Lagrangians defined on graphs and discuss its relationship with weak KAM theory developed in [24].", "revisions": [ { "version": "v1", "updated": "2021-02-22T14:35:58.000Z" } ], "analyses": { "keywords": [ "weak kam theory", "formulate aubry-mather theory", "relationship" ], "note": { "typesetting": "TeX", "pages": 51, "language": "en", "license": "arXiv", "status": "editable" } } }