A general algebraic formalism for the mathematical modeling of
physical systems is sketched. This formalism is sufficiently
general to encompass classical and quantum-mechanical models. It is
then explained in which way quantum theory differs in an...
In this talk we will discuss information complexity -- a measure
of the amount of information Alice and Bob need to exchange to
solve a problem over distributed inputs. We will present an
information-theoretically optimal protocol for computing the...
The Ginzburg-Landau theory was first developed to explain
magnetic and other properties of superconductors, but had a
profound influence on physics well beyond its original area. It had
the first demonstration of the Higgs mechanism and it...
For an abelian surface A over a number field k, we study the
limiting distribution of the normalized Euler factors of the
L-function of A. Under the generalized Sato-Tate conjecture, this
is equal to the distribution of characteristic...