Local and global expansion in random geometric graphs

Siqi Liu, Sidhanth Mohanty, Tselil Schramm +1

Consider a random geometric 2-dimensional simplicial complex $X$ sampled as follows: first, sample $n$ vectors ${\mathbf{u}}_1,\dots ,{\mathbf{u}}_{\mathbf{n}}$ uniformly at random on $\m…