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 ...
When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier-sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...
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.