{ "id": "1012.2956", "version": "v1", "published": "2010-12-14T08:14:46.000Z", "updated": "2010-12-14T08:14:46.000Z", "title": "Penalisation of the symmetric random walk by several functions of the supremum", "authors": [ "Pierre Debs" ], "categories": [ "math.PR" ], "abstract": "In this paper, we penalised the standard random walk by several functions of its maximum. The aim is to show that in spite of very close penalisation functions, under the new probabilities, the canonical process behaves very differently.", "revisions": [ { "version": "v1", "updated": "2010-12-14T08:14:46.000Z" } ], "analyses": { "keywords": [ "symmetric random walk", "standard random walk", "close penalisation functions", "canonical process behaves", "probabilities" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1012.2956D" } } }