Researchers have, for the first time, described the properties of one-dimensional anyons and outlined how these particles can be observed using existing experimental setups.

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 ...

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 ...

The notion of dimension at first seems intuitive. Glancing out the window we might see a crow sitting atop a cramped flagpole experiencing zero dimensions, a robin on a telephone wire constrained to ...