A `toy model' for studying the probabilistic distribution of
nodal curves of eigenfunctions of linear operators arises from the
Laplacian on the standard real 2-torus. Here the eigenvalues are
associate to integers m that are sum of two squares...
We study open-closed orbifold Gromov-Witten invariants of toric
Calabi-Yau 3-orbifolds with respect to Lagrangian branes of
Aganagic-Vafa type. We prove an open mirror theorem which expresses
generating functions of orbifold disk invariants in terms...
We study the nonlinear Klein-Gordon equation, in one dimension,
with a qudratic term and variable coefficient qubic term. This
equation arises from the asymptotic stability theory of the kink
solution.Our main result is the global existence and...
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...
