A well known result of Coleman says that p-adic overconvergent
(ellitpic) eigenforms of small slope are actually classical modular
forms. Now consider an overconvergent p-adic Hilbert eigenform F
for a totally real field L. When p is totally...
We define a polynomial threshold function to be a function of
the form f(x) = sgn(p(x)) for p a polynomial. We discuss some
recent techniques for dealing with polynomial threshold functions,
particular when evaluated on random Gaussians. We...
It is well-known that any Boolean function f:{-1,+1}^n \to
{-1,+1} can be written uniquely as a polynomial f(x) = \sum_{S
subset [n]} f_s \prod_{i in S} x_i. The collection of coefficients
(f_S's) this expression are referred to (with good reason)...
Violinist Steven Copes, flutist Tara Helen O'Connor, and cellist
Edward Arron join in a conversation about music with Institute
Artist-in-Residence Derek Bermel.
