Thu, 12 Nov 2009
11:00
11:00
DH 3rd floor SR
Introduction to and Advances in Random Finite Set Theory for Tracking. POSTPONED TO A LATER DATE.
Trevor Wood
(Mathematical Institute Oxford)
This second 'problem sheet' of the term includes a proof of Jensen's Theorem for the number of zeroes of an analytic function in a disc, the usefulness of which is highlighted by an application to the Riemann zeta-function.
The estimation of heat kernels has been of much interest in various settings. Often, the spaces considered have some kind of uniformity in the volume growth. Recent results have shown that this is not the case for certain random fractal sets. I will present heat kernel bounds for spaces admitting a suitable resistance form, when the volume growth is not uniform, which are motivated by these examples.