I'll describe joint work (in progress) with Ghaith Hiary on
implementing and running Hiary's O(t^1/3) algorithm for computing
the zeta function and give some highlights of recent
computations.
I will introduce some example of models of Statistical Mechanics
that are called 'weak-universal' and I will discuss the role of the
extended scaling relations for the critical indexes. Finally I will
mention some results and some works in progress...
I will discuss the problem of approximating a given positive
semidefinite matrix A , written as a sum of outer products $vv^T$ ,
by a much shorter weighted sum in the same outer products. I will
then mention an application to sparsification of...