Abstract: The average distance problem asks to find a good way to approximate a high-dimensional object, represented as a measure, by a one-dimensional object. We will discuss two variants of the ...

A pair of identical particles swapping places sounds like a small move. In quantum physics, it is a defining one. In everyday three-dimensional space, that swap only comes in two flavors. Either the ...

Scheme illustration of object identification and all-optical 3D reconstruction system. (a) A contour surface image of the object can be obtained in a single processing of the system. (b) High-contrast ...

Add Yahoo as a preferred source to see more of our stories on Google. Two Physical Review A papers outline how anyons could exist in one dimension, and how cold-atom experiments might spot them.