In this talk, James Holehouse (Santa Fe Institute) presents a solution for the first-passage time distribution on a generalized one-dimensional finite interval using the “backward” master equations approach and generating functions. He highlights several non-intuitive aspects of the problem: (I) First-passage times on disordered intervals cannot be effectively studied through simulations, (II) there is a highly variable spatial dependence of the first-passage time, and (III) the distributions of first-passage times appear as bimodal.
