Noether’s theorem is a fundamental result in physics stating that every symmetry of the dynamics implies a conservation law. It is, however, deficient in several respects: for one, it is not ...

We present an extension of Wiener's theorem, a nonlinear filter called the measure filter which, when applied to a measure, filters out all but the lowest dimensional part of that measure. We also ...

Abstract We investigate measure-theoretic aspects of various notions of reducibility by applying analogs of Demuth’s Theorem in the hyperarithmetic and set-theoretic settings. 2010 Mathematics Subject ...