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dc.contributor.authorBurdzy, Krzysztof
dc.contributor.authorAdelman, Omer
dc.contributor.authorPemantle, Robin
dc.date.accessioned2005-11-28T18:53:29Z
dc.date.available2005-11-28T18:53:29Z
dc.date.issued1998-04
dc.identifier.citationAdelman, O., K. Burdzy, & R. Pemantle. (1998). Sets avoided by Brownian motion. Annals of Probability, 26(2), 429-464.en
dc.identifier.urihttp://hdl.handle.net/1773/2194
dc.description.abstractA fixed two-dimensional projection of a three-dimensional Brownian motion is almost surely neighborhood recurrent; is this simultaneously true of all the two-dimensional projections with probability one? Equivalently: three-dimensional Brownian motion hits any infinite cylinder with probability one; does it hit all cylinders? This papers shows that the answer is no. Brownian motion in three dimensions avoids random cylinders and in fact avoids bodies of revolution that grow almost as fast as cones.en
dc.description.sponsorshipBurdzy's research supported in part by National Science Foundation Grant # DMS 9322689. Pemantle's research supported in part by National Science Foundation Grant # DMS 9300191, by a Sloan Foundation Fellowship and by a Presidential Faculty Fellowship.en
dc.format.extent321046 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherInstitute of Mathematical Statisticsen
dc.subjectBrownian motionen
dc.subjectrecurrenceen
dc.subjectsecond moment methoden
dc.subjecthitting probabilitiesen
dc.titleSets avoided by Brownian motionen
dc.typeArticleen


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