A critical case for Brownian slow points

dc.contributor.authorBurdzy, Krzysztof
dc.contributor.authorBass, Richard F.
dc.date.accessioned2005-11-28T17:55:50Z
dc.date.available2005-11-28T17:55:50Z
dc.date.issued1996-01
dc.description.abstractLet X [subscript] t be a Brownian motion and let S(c) be the set of reals r [is greather than or equal to] 0 such that |X ([subscript] r+t) − X [subscript] r| [is less than or equal to] c [square root of] t, 0 [is less than or equal to] t [is less than or equal to] h, for some h = h(r) > 0. It is known that S(c) is empty if c < 1 and nonempty if c > 1, a.s. In this paper we prove that S(1) is empty a.s.en
dc.description.sponsorshipThis research was partially supported by NSF Grant 9322689.en
dc.format.extent205757 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationBass, R.F. & K. Burdzy. (1996). A critical case for Brownian slow points. Probability Theory and Related Fields, 105(1), 85-108.en
dc.identifier.urihttp://hdl.handle.net/1773/2191
dc.language.isoen_US
dc.publisherSpringer-Verlag GmbHen
dc.subjectBrownian motionen
dc.subjectslow pointsen
dc.titleA critical case for Brownian slow pointsen
dc.title.alternativeBrownian slow pointsen
dc.typeArticleen

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