Serious Zombie Math @MathOverflow
Consider zombies placed uniformly at random over R2 with asymptotic density μ zombies/area. You are placed at a random point and can move with speed 1. Zombies move with speed v≤1 straight towards you, what is the probability P(μ,ν) you can escape to infinity without a zombie catching you?
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Some answers and clarifying questions have already been posted in response to the zombie question and it seems like they are taking the question seriously.
See more prior posts of ZombieLaw: Math