Researchers have discovered a hidden quantum geometry inside materials that subtly steers electrons, echoing how gravity ...
Imagine traveling through a city where the streets themselves change shape depending on how fast you drive down them. For ...
A group of Boston-based mathematicians calling themselves the Metric Geometry and Gerrymandering Group are using their math superpowers to fight back against gerrymandering. They're holding a public ...
Quantum metric spaces extend the classical notion of metric spaces into the noncommutative realm by utilising operator algebras and associated seminorms to capture geometric structure in settings ...
Banach spaces provide a fundamental framework for analysing problems in functional analysis, encapsulating the notion of complete normed vector spaces. Metric geometry, by contrast, concerns itself ...
Scientists have long sought to understand the quantum metric (QM)—a fundamental quantity that measures how rapidly neighboring electronic states in a solid change across momentum space. Predicted to ...