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Speakers

Milne Anderson, University College, London
The Logarithmic Derivative of a Polynomial
3:00pm, Clark Hall 107

Daniel Stroock, MIT, Cambridge, MA
Some Queer Diffusions
4:00pm, Clark Hall 107
Abstract: Several years ago, David Williams and I studied a simple looking diffusion equation on the right half line. What made the problem challenging was our imposition of a boundary condition which invalidated the minimum principle. As a consequence, non-negative initial data does not necessarily stay non-negative under the evolution. Our search for the necessary and sufficient condition on the initial data which guarantees that the solution stays non-negative involved an interesting and novel connection between classical analysis and probability theory. After explaining the simplest case, I will report on some more recent progress on this type of problem.

Reception

Following the talks, there will be a reception for Loren in the Kerchof Hall Common Room (Room 314).

Math Department