 # Michael Lugo

Atlanta

http://www.gottwurfelt.com

I earned my PhD at the University of Pennsylvania, working in combinatorics and probability. Within mathematics, I'm particularly interested in what large random structures look like. I think generating functions are awesome, which is probably pretty clearly reflected in the questions I answer.

Now I work as a data scientist, which is what they call statisticians when they want to pay them more and sound modern.

Top Questions

## If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a nice proof of this?

asked Oct 23 '09 at 2:28

## Teaching statements for math jobs?

asked Oct 16 '09 at 23:31

## Is there a combinatorial reason that the (-1)st Catalan number is -1/2?

asked Feb 17 '10 at 19:00

## What relationship, if any, is there between the diameter of the Cayley graph and the average distance between group elements?

asked Apr 12 '11 at 18:35

## What's the minimum of $\int_0^1 f(x)^2 \: dx$, subject to $\int_0^1 f(x) \: dx = 0, \int_0^1 x f(x) \: dx = 1$?

asked Jun 20 '11 at 23:18