All Questions

What is it known about the topology of nodal domains of eigenfunctions of self-adjoint operators? In particular I'm interested in self-adjoint operators on a complete, non-compact, surface $\Sigma \...

Consider a collection of $N$ points on the 2-sphere chosen uniformly at random. Let's say that there's an edge between two such vertices if their geodesic distance is less than $r_N$. The resulting ...

The evolute of a curve is the locus of its centers of curvature. The evolute of some plane curves is a scaled, or scaled and reflected/rotated, version of that curve. For example, the evolute of a ...