Complex Hessian equations extend the classical framework of the complex Monge–Ampère equation by involving the m-th elementary symmetric function of the eigenvalues of the complex Hessian. This ...

The field of complex geometry, intertwined with Lie theory, represents a vibrant area where algebraic and differential techniques converge to unravel the structure of complex manifolds and their ...

In fields ranging from immunology and ecology to economics and thermodynamics, multi-scale complex systems are ubiquitous. They are also notoriously difficult to model. Conventional approaches take ...

Born in Brooklyn in 1942, Freed’s scientific trajectory began early; he and his brother Jack, who himself would go on to ...

CHAMPAIGN, Ill. — It’s not easy to make sense of quantum-scale motion, but a new mathematical theory could help, providing insight into the various computing, electrochemical and biological systems.

So, what exactly is quantum theory in chemistry? It’s basically the set of ideas that explain how atoms and molecules behave at a really, really tiny level. Think smaller than you can even imagine.