{ "id": "1710.04774", "version": "v1", "published": "2017-10-13T01:39:58.000Z", "updated": "2017-10-13T01:39:58.000Z", "title": "The Law of the Iterated Logarithm for a Class of SPDEs", "authors": [ "Parisa Fatheddin", "P. Sundar" ], "categories": [ "math.PR" ], "abstract": "Using a moderate deviation result, we establish the Strassen's compact law of the iterated logarithm (LIL) for a class of stochastic partial differential equations (SPDEs). As an application, we obtain this type of LIL for two important population models known as super-Brownian motion and Fleming-Viot process.", "revisions": [ { "version": "v1", "updated": "2017-10-13T01:39:58.000Z" } ], "analyses": { "subjects": [ "60H15", "60F10", "60J68" ], "keywords": [ "iterated logarithm", "stochastic partial differential equations", "strassens compact law", "important population models", "moderate deviation result" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }