3 Jun
2020
3 Jun
'20
6:09 a.m.
On Jun 2, 2020, at 9:50 PM, Michael Kleber <michael.kleber@gmail.com> wrote:
Wow, that "expected number of lonely people" problem is great! I've never seen this before, and did not expect it to come out so nicely.
—Michael
That problem can be recast as the “expected constellation size” problem I posed many years ago. It can be worked out in any number of dimensions. In the night sky (2D) assume that the visible stars are uniformly distributed and form connected graphs (constellations) by joining each star with its nearest (angular) neighbor. What’s the expected number of stars per constellation? -Veit