|Wednesday 16 October 2019|
|Events for day: Wednesday 03 July 2019|
| 14:00 - 15:30 Combinatorics and Computing Weekly Seminar|
Eigenvalues and Structures of Weighted Graphs
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 Colloquium
Metastability and Condensation (canceled)
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. ...