{ "id": "1707.02507", "version": "v1", "published": "2017-07-09T00:39:30.000Z", "updated": "2017-07-09T00:39:30.000Z", "title": "Assouad dimension of random processes", "authors": [ "Douglas Howroyd", "Han Yu" ], "comment": "8 pages, 2 figures", "categories": [ "math.PR" ], "abstract": "In this paper we study the Assouad dimension of graphs of certain L\\'evy processes and functions defined by stochastic integrals. We do this by introducing a convenient condition which guarantees a graph to have full Assouad dimension and then show that graphs of our studied processes satisfy this condition.", "revisions": [ { "version": "v1", "updated": "2017-07-09T00:39:30.000Z" } ], "analyses": { "subjects": [ "28A80", "60J65", "60G22", "60H05" ], "keywords": [ "random processes", "full assouad dimension", "levy processes", "processes satisfy", "stochastic integrals" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }