dc.contributor.author | Burdzy, Krzysztof | |
dc.date.accessioned | 2005-11-16T18:04:55Z | |
dc.date.available | 2005-11-16T18:04:55Z | |
dc.date.issued | 1989 | |
dc.identifier.citation | Burdzy, K. (1989). Geometric properties of 2-dimensional Brownian paths. Probability Theory and Related Fields, 81, 485-505. | en |
dc.identifier.uri | http://hdl.handle.net/1773/2161 | |
dc.description.abstract | Let A be the set of all points of the plane C, visited by two-dimensional Brownian motion before time 1. With probability 1, all points of A are "twist points" except a set of harmonic measure zero. "Twist points" may be continuously approached in [the set that contains all those elements of complex numbers that are not in] A only along a special spiral. Although negligible in the sense of harmonic measure, various classes of "cone points" are dense in A, with probability
1. "Cone points" may be approached in [the set that contains all those elements of complex numbers that are not in] A within suitable wedges. | en |
dc.description.sponsorship | Research supported in part by NSF Grant DMS 8419377. | en |
dc.format.extent | 255849 bytes | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag GmbH | en |
dc.subject | Brownian motion | en |
dc.subject | Brownian paths | en |
dc.subject | Twist points | en |
dc.subject | Cone points | en |
dc.subject | Harmonic measure | en |
dc.title | Geometric Properties of 2-dimensional Brownian Paths | en |
dc.title.alternative | Brownian paths | en |
dc.type | Article | en |