Tue, 03 Mar 2009

14:30 - 15:30
L3

Concentration and mixing for Markov chains

Malwina Luczak
(LSE)
Abstract
We consider Markovian models on graphs with local dynamics. We show that, under suitable conditions, such Markov chains exhibit both rapid convergence to equilibrium and strong concentration of measure in the stationary distribution. We illustrate our results with applications to some known chains from computer science and statistical mechanics.

Tue, 17 Feb 2009

14:30 - 15:30
L3

The edge correlation of random forests

Dudley Stark
(QMUL)
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.

Tue, 24 Feb 2009
12:00
L3

Asymptotic Quasinormal Frequencies for d-Dimensional Black Holes

Jose Maciel Natario
(Lisboa)
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.

Tue, 10 Feb 2009
12:00
L3

Boundedness and decay of scalar waves on Kerr and more general black holes

Igor Rodnianski
(Princeton)
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.

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