I know that I have dumb intuitions about celebrity. I tend to dramatically overestimate the popularity of people like Tim Gowers or Paul Baribeau, and to underestimate the popularity of people that people have actually heard of. So you might think that the celebrity function is a measure of how good someone is at math and how punk rock they are. But if that held I think I would have heard of the Punk Rock OR blog
before now, so maybe the model is in need of revision.