When objectivity became a goal for science in the early
nineteenth century, natural philosophers had to invert epistemic
virtues: idealization out, mechanical representation in.
Twentieth-century scientists questioned image-based
mechanical...
The Davenport-Heilbronn function (introduced by Titchmarsh) is a
linear combination of the two L-functions with a complex character
mod 5, with a functional equation of L-function type but for which
the analogue of the Riemann hypothesis fails. In...
The notion of exactly (or approximately) representing certain
combinatorial properties of a graph $G$ on a simpler graph is
ubiquitous in combinatorial optimization. In this talk, I will
introduce the notion of vertex sparsification. Here we are...
I will describe the notions of strong and weak epsilon nets in
range spaces, and explain briefly some of their many applications
in Discrete Geometry and Combinatorics, focusing on several recent
results in the investigation of the extremal...
A long-standing line of work in economic theory has studied
models by which a group of people in a social network, each holding
a numerical opinion, can arrive at a shared opinion through
repeated averaging with their neighbors in the network...
