Vinen's vibrating wire experiment detected quantized vortices in superfluid 4He, with the anticipated circulation quantum h/m. In addition to this main result, Vinen used his data propose other properties and behaviors of vortices, which are revisited here. Subsequent work confirmed that non-quantized values occur when cover only part wire's length, size covered section can change easily. Any m...

The distribution νλ of the random series ∑ ±λ is the infinite convolution product of 1 2 (δ−λn + δλn). These measures have been studied since the 1930’s, revealing connections with harmonic analysis, the theory of algebraic numbers, dynamical systems, and Hausdorff dimension estimation. In this survey we describe some of these connections, and the progress that has been made so far on the funda...