Past Events

A useful way of producing samples from a given measure ν on a state space Ω is by providing a Markov chain whose stationary measure in ν. In order to be able to sample efficiently, one needs to show that the chain "mixes" quickly in terms of the rate...

In this talk, we will study the mean field limit of weakly interacting diffusions for confining and interaction potentials that are not necessarily convex. We explore the relationship between the large N limit of the constant in the logarithmic...

A useful way of producing samples from a given measure ν on a state space Ω is by providing a Markov chain whose stationary measure in ν. In order to be able to sample efficiently, one needs to show that the chain "mixes" quickly in terms of the rate...

A Kakeya set is a compact subset of R^n that contains a unit line segment pointing in every direction. The Kakeya conjecture asserts that such sets must have dimension n. This conjecture is closely related to several open problems in harmonic...

In his seminal work on modular curves and the Eisenstein ideal, Mazur studied the existence of congruences between certain Eisenstein series and newforms, proving that Eisenstein ideals associated to weight 2 cusp forms of prime level are locally...

The past twenty-five years have heralded an unparalleled increase in understanding of cancer. At the same time, mathematical modelling has emerged as a natural tool for unravelling the complex processes that contribute to the initiation and...

It is well known that a maximal planar graph of order at least 3 is 3-colourable if and only if it is Eulerian. It is also known that if a maximal planar graph of order at least 3 has exactly two vertices of odd degree, then these vertices are...

There is a wealth of combinatorial algorithms for classical min-cost flow problems and their simpler variants like max flow or shortest-path problems. It is wellknown that several of these algorithms are intimately related to the Simplex method and...

The Zener cards are a deck of nm cards where each of n symbols is depicted on exactly m cards. The following experiment \((n=mu=5)\)has been used since the early ‘30s to test for extrasensory perceptions: the alleged telepath tries to guess cards one...