- Series
- Stochastics Seminar
- Time
- Thursday, February 23, 2012 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- 006
- Speaker
- Robert W. Neel – Lehigh University – robert.neel@lehigh.edu – http://www.lehigh.edu/~rwn209/
- Organizer
- Ionel Popescu
We wish to understand ends of minimal surfaces contained in
certain subsets of R^3. In particular, after explaining how the
parabolicity and area growth of such minimal ends have been previously
studied using universal superharmonic functions, we describe an
alternative approach, yielding stronger results, based on studying
Brownian motion on the surface. It turns out that the basic results
also apply to a larger class of martingales than Brownian motion on a
minimal surface, which both sheds light on the underlying geometry and
potentially allows applications to other problems.