APDE: Seminars

Seminars in Applied and Computational Analysis

Eigenvalues, multiplicities and graphs

Given an undirected graph G, we consider the set H(G) of all Hermitian matrices with graph G. This places no restrictions on the diagonal entries, besides that they are real. Among matrices in H(G), the possible lists of multiplicities for the eigenvalues are of interest. There has now been considerable work on what these lists might be, especially for trees, and we survey portions of this work, including maximum multiplicity, lengths of lists, and descriptions of all lists that occur for various classes of graphs.

Global minimization for the Chan-Vese model

Abstract not available

Tug-of-war games and PDEs

In this talk we review some recent results concerning Tug-of-War games and their relation to some well known PDEs. In particular, we will show that solutions to certain PDEs can be obtained as limits of values of Tug-of-War games when the parameter that controls the length of the possible movements goes to zero. As an application we will show an asymptotic mean value characterisation of p-harmonic functions.

Title to be confirmed

Abstract not available

Graduate Seminars (WE 15:00, MR5)