{ "id": "1407.5417", "version": "v1", "published": "2014-07-21T08:57:58.000Z", "updated": "2014-07-21T08:57:58.000Z", "title": "A fractional isoperimetric problem in the Wiener space", "authors": [ "Matteo Novaga", "Diego Pallara", "Yannick Sire" ], "categories": [ "math.AP" ], "abstract": "We introduce a notion of fractional perimeter in an abstract Wiener space, and we show that halfspaces are the only volume-constrained minimisers.", "revisions": [ { "version": "v1", "updated": "2014-07-21T08:57:58.000Z" } ], "analyses": { "keywords": [ "fractional isoperimetric problem", "abstract wiener space", "fractional perimeter", "halfspaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1407.5417N" } } }