Tuesday 16 July 2019 |

Events for day: Wednesday 03 July 2019 |

14:00 - 15:30 Combinatorics and Computing Weekly SeminarEigenvalues and Structures of Weighted Graphs School MATHEMATICS Let S(G) be the set of all real symmetric matrices such that their offdiagonal entries are nonzero if and only if the corresponding vertices in the graph G are connected by an edge. The diagonal entries can be both zero and nonzero. In this talk, we will focus on the eigenvalues of these matrices. In particular, we are interested in q(G), the minimum number of distinct eigenvalues of a matrix in S(G). We will survey some results about the parameter q(G). ... 16:00 - 17:00 Mathematics ColloquiumMetastability and Condensation (canceled) School MATHEMATICS Dynamical systems that are perturbed by small random noises are known to exhibit metastable behavior. Analogously, random walks with tendency towards a finite collection of sites may exhibit metastability. Zero Range Process is a random walk on a simplex with metastable states residing at the vertices. Interpreting this process as a particle system on a one dimensional lattice, the metastable states correspond to the condensates. In this talk I give an overview of some known results in both the continuous and discrete settings, and discuss some open questions. ... |