## Probability Seminar: Jesse Goodman

- Date: 07/31/2013
- Time: 15:00

Lecturer(s):
Jesse Goodman,

*Universiteit Leiden*
Location:

University of British Columbia

Topic:

The gaps left by a Brownian motion

Description:

Run a Brownian motion on a torus for a long time. How large are the random gaps left behind when the path is removed? In three (or more) dimensions, we find that there is a deterministic spatial scale common to all the large gaps anywhere in the torus. Moreover, we can identify whether a gap of a given shape is likely to exist on this scale, in terms of a single parameter, the classical (Newtonian) capacity. I will describe why this allows us to identify a well-defined "component" structure in our random porous set.

Other Information:

Location: Math 125