Sets avoided by Brownian motion

ResearchWorks/Manakin Repository

Search ResearchWorks


Advanced Search

Browse

My Account

Statistics

Related Information

Sets avoided by Brownian motion

Show full item record

Title: Sets avoided by Brownian motion
Author: Burdzy, Krzysztof; Adelman, Omer; Pemantle, Robin
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.
URI: http://hdl.handle.net/1773/2194

Files in this item

Files Size Format View
paper58.pdf 313.5Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record