Random walk
I know a mathematician’s an unlikely survivor. But it’s not axiomatic.
By the time I realized I was in trouble, there was only one way to go: up. I locked the door, made sure the windows were secure, and ran up to the second floor.
I peeked out a bedroom window at the rotting, writhing mass below. I should’ve predicted this, I guess, but in my defense I didn’t know all the initial conditions.
I didn’t see how the pile got started. Extrapolating backwards, I can guess it was one of the deadwalkers in advanced decay. It bumped into the house and fell apart. There must’ve been hundreds before who stayed intact, but statistics won’t be denied.
Once seeded, it grew. Another fell, and another. They don’t climb, really, but they can walk up hill. One on the pile, then another. Given their speed, average size, direction, I can calculate how long before they’ll reach this window in front of me: 6 to 8 days. Plus or minus.
I have 7 days of food here. I suspect in week or so, I’ll have one last equation to solve.