I discuss a new problem I encountered through my brother, the bounded random walk. I found that naive physics intuition gives reasonable intuition about expectation values, but I wanted to learn more about how to formally deal with such a system. In the end, I arrived at a result through some methods from stochastic processes, which I showcase here.

This post is a little over a month late, but while I was sitting through some of the talks at the April APS meeting, I thought that I should put some of my ideas about it in writing. I didn’t have anything to present at the conference, but since it was local, I just bought a student pass and took the weekend to listen to what was going on and talk to a lot of different people.