14:15
The edge correlation of random forests
Abstract
The conjecture was made by Pemantle that a forest chosen uniformly at random from all forests in any finite graph G has the edge-negative association property. We use enumerative methods to show that this conjecture is true for n large enough when G is a complete graph on n vertices and derive related results for random trees.
14:15
12:00
Asymptotic Quasinormal Frequencies for d-Dimensional Black Holes
Abstract
I will explain what quasinormal modes are and how to obtain asymptotic formulae for the quasinormal frequencies of static, spherically symmetric black hole spacetimes in d dimensions in the limit of very large imaginary part.
12:00
Boundedness and decay of scalar waves on Kerr and more general black holes
Abstract
I will review our current mathematical understanding of waves on black hole backgrounds, starting with the classical boundedness theorem of Kay and Wald on Schwarzschild space-time and ending with recent boundedness and decay theorems on a wider class of black hole space-times.