{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:07:12Z","timestamp":1753880832918,"version":"3.41.2"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"name":"Niel Hendrik Abel Board"},{"name":"FCT-Portugal","award":["UIDB\/MAT\/04674\/2020"],"award-info":[{"award-number":["UIDB\/MAT\/04674\/2020"]}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["GR 1809\/14-1"],"award-info":[{"award-number":["GR 1809\/14-1"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Infin. Dimens. Anal. Quantum. Probab. Relat. Top."],"published-print":{"date-parts":[[2023,3]]},"abstract":"<jats:p> In this paper, we study stochastic currents of Brownian motion [Formula: see text], [Formula: see text], by using white noise analysis. For [Formula: see text] and for [Formula: see text] we prove that the stochastic current [Formula: see text] is a Hida distribution. Moreover for [Formula: see text] with [Formula: see text] we show that the stochastic current is not a Hida distribution. <\/jats:p>","DOI":"10.1142\/s0219025722500254","type":"journal-article","created":{"date-parts":[[2022,10,7]],"date-time":"2022-10-07T21:18:20Z","timestamp":1665177500000},"source":"Crossref","is-referenced-by-count":1,"title":["A white noise approach to stochastic currents of Brownian motion"],"prefix":"10.1142","volume":"26","author":[{"given":"Martin","family":"Grothaus","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Kaiserslautern, 67653 Kaiserslautern, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4142-0939","authenticated-orcid":false,"given":"Herry Pribawanto","family":"Suryawan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Sanata Dharma University, 55281 Yogyakarta, Indonesia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5207-1703","authenticated-orcid":false,"given":"Jos\u00e9 Lu\u00eds","family":"Da Silva","sequence":"additional","affiliation":[{"name":"CIMA, University of Madeira, Campus da Penteada, 9020-105 Funchal, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2022,11,28]]},"reference":[{"key":"S0219025722500254BIB001","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-62010-2","volume-title":"Geometric Measure Theory","author":"Federer H.","year":"1996"},{"key":"S0219025722500254BIB002","doi-asserted-by":"crossref","first-page":"1583","DOI":"10.1016\/j.spa.2005.04.007","volume":"115","author":"Flandoli F.","year":"2005","journal-title":"Stochastic Process. 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