Measure theory and variational analysis form a robust framework underpinning modern analysis and partial differential equations. This interdisciplinary field integrates techniques for quantifying ...

We first argue that there are important reasons for extending classical measure theory. We then define this extended theory and give examples of new phenomena that it describes. The basic structure of ...

Geometric measure theory lies at the intersection of analysis, geometry and topology, providing rigorous tools for quantifying the size, structure and irregularity of sets and measures in Euclidean ...

(Phys.org) —One of the cornerstones of quantum physics is the Schrödinger equation, which describes what a system of quantum objects such as atoms and subatomic particles will do in the future based ...

Physicists have proposed modifications to the infamous Schrödinger's cat paradox that could help explain why quantum particles can exist in more than one state simultaneously, while large objects ...