- Series
- Stochastics Seminar
- Time
- Friday, October 9, 2009 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 154 (Unusual time and room)
- Speaker
- Carl Mueller – University of Rochester
- Organizer
- Yuri Bakhtin
One of the most important stochastic partial differential equations,
known as the superprocess, arises as a limit in population dynamics.
There are several notions of uniqueness, but for many years only weak
uniqueness was known. For a certain range of parameters, Mytnik and
Perkins recently proved strong uniqueness. I will describe joint work
with Barlow, Mytnik and Perkins which proves nonuniqueness for the
parameters not included in Mytnik and Perkins' result. This
completely settles the question for strong uniqueness, but I will end
by giving some problems which are still open.