LMI Lecture: Super-oscillations and related matters

This series of lectures concerns a substantial and fast-developing new area, linking a number of what were thought to be separate subjects: quantum physics, optical singularities, mathematical function theory, super-resolution microscopy, radar theory... These are subjects that do not form part of the usual student or Ph.D courses, but can be explained without too much high-power theory, and provide a wonderful illustration of the unity of different areas of mathematics and physics.

Lecture 4:

Superoscillation statistics, general quantum supershifts, in optical speckle, in backflow, and in Klein-Gordon and Dirac waves, superluminal (?) neutrinos, weak values and optical mean shifts.