| dc.contributor.author | Burdzy, Krzysztof | |
| dc.contributor.author | Adelman, Omer | |
| dc.contributor.author | Pemantle, Robin | |
| dc.date.accessioned | 2005-11-28T18:53:29Z | |
| dc.date.available | 2005-11-28T18:53:29Z | |
| dc.date.issued | 1998-04 | |
| dc.identifier.citation | Adelman, O., K. Burdzy, & R. Pemantle. (1998). Sets avoided by Brownian motion. Annals of Probability, 26(2), 429-464. | en |
| dc.identifier.uri | http://hdl.handle.net/1773/2194 | |
| dc.description.abstract | A 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.sponsorship | Burdzy'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.extent | 321046 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en_US | |
| dc.publisher | Institute of Mathematical Statistics | en |
| dc.subject | Brownian motion | en |
| dc.subject | recurrence | en |
| dc.subject | second moment method | en |
| dc.subject | hitting probabilities | en |
| dc.title | Sets avoided by Brownian motion | en |
| dc.type | Article | en |
