{ "id": "2204.08197", "version": "v1", "published": "2022-04-18T07:18:41.000Z", "updated": "2022-04-18T07:18:41.000Z", "title": "Groups, drift and harmonic measures", "authors": [ "Mark Pollicott", "Polina Vytnova" ], "comment": "10 pages, 4 figures, 1 table", "categories": [ "math.DS", "math.PR" ], "abstract": "In this short note we will describe an old problem and a new approach which casts light upon it. The old problem is to understand the nature of harmonic measures for cocompact Fuchsian groups. The new approach is to compute numerically the value of the drift and, in particular, get new results on the dimension of the measure in some new examples.", "revisions": [ { "version": "v1", "updated": "2022-04-18T07:18:41.000Z" } ], "analyses": { "subjects": [ "37C30", "60G50", "20F67" ], "keywords": [ "harmonic measures", "old problem", "cocompact fuchsian groups", "casts light", "short note" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }