Graduate Student Proves the Fractal Uncertainty Principle

Recommendable!

From the abstract (very short):

"We prove that if a fractal set in R^d avoids lines in a certain quantitative sense, which we call line porosity, then it has a fractal uncertainty principle. The main ingredient is a new higher dimensional Beurling-Malliavin multiplier theorem."

Graduate Student Proves the Fractal Uncertainty Principle | Quanta Magazine "The math, which combines chaos, quantum theory, and infinitely complex fractal structures, has been called a “foundational result.”"

Fractal uncertainty in higher dimensions (preprint, open access)