Past Events

The game-theoretic framework, introduced by Vovk and myself in 2001 (www.probabilityandfinance.com), uses game theory instead of measure theory as a mathematical framework for probability. Classical theorems are proven by betting strategies that...

We consider optimal control problems with control appearing linearly. The evaluation of the Pontryagin Minimum Principle shows that optimal controls are composed of bang-bang and singular arcs. Values of bang-bang controls switch discontinuously...

Graphical models that represent knowledge and uncertainty such as Bayesian networks are popular approaches due to their strong probabilistic semantics and oftentimes intuitive decision modeling capabilities. In this talk, we will examine such...

Morphogens (ligands) are molecular substances synthesized at some localized source and bound to cell surface receptors and other molecules as they are transported away from their source. The concentration gradients of different morphogen-receptor...

A stochastic system of particles is considered in which the sizes of the particles increase by successive binary mergers with the constraint that each coagulation event involves a particle with minimal size. Convergence of a suitably renormalised...

Four ordered points on the projective line, up to projective equivalence, are classified by the cross ratio, a notion introduced by Cayley. This theory can be extended to more points, leading to one of the first important examples of an invariant...

This will be a mostly expository talk on the new 3-manifold invariant, Heegaard-Floer homology, developed in the last decade in a series of remarkable papers by Ozsvath and Szabo. Emphasis will be on the remarkable applications of the theory.

We classify bifurcations of the asymmetric states from a family of symmetric states in the focusing (attractive) Gross-Pitaevskii equation with a symmetric double-well potential. Depending on the shape of the potential, both supercritical and...

I aim to explain a recent paper of my collaborator Bai-Ling Wang in which he proves that there is a generalisation of the Baum-Douglas geometric cycles which realise ordinary K-homology classes to the case of twisted K-homology. We propose that these...