Video Lectures

We introduce a new family of robust semiparametric methods for analyzing large, complex, and noisy datasets. Our method is based on the transelliptical distribution family which assumes that the variables follow an elliptical distribution after a...

When a 2D many-particle system with a repulsive interaction is subject to a sufficiently strong magnetic field, that can also be produced by rapid rotation, strongly correlated many-body states in the lowest Landau level LLL may emerge. In the talk...

In the art of Paul Klee (1879-1940), we find an unmatched pluralism of styles--figurative as well as abstract, geometric as well as biomorphic, linear as well as painterly, severe styles alongside more fluid ones, often within the production of a...

The systems of elasticity in 2D are wave-type equations with two different propagation speeds at a linear level. Due to the incompressibility, the system is nonlocal and is not Lorentz invariant, but it is inherently linear degenerate. We talk about...

We compute new families of time-periodic and quasi-periodic solutions of the free-surface Euler equations involving extreme standing waves and collisions of traveling waves of various types. A Floquet analysis shows that many of the new solutions...

How many arithmetic operations does it take to multiply two square matrices? This question has captured the imagination of computer scientists ever since Strassen showed in 1969 that \(O(n^{2.81})\) operations suffice. We survey the classical theory...

After a brief review of various classical connections between problems of polynomial zero localization, continued fractions, and matrix theory, I will show a few ways to generalize these classical techniques to get new results about some interesting...