Random walks in random environment: What a single trajectory tells

Details Random walks in random environment: What a single trajectory tells Random walks in random environment: What a single trajectory tells

2003-04-07

arxiv.org/abs/math/0304091v1

Mathematics

Probability

10 pages

Scientific paper

We present a procedure that determines the law of a random walk in an iid random environment as a function of a single "typical" trajectory. We indicate when the trajectory characterizes the law of the environment, and we say how this law can be determined. We then show how independent trajectories having the distribution of the original walk can be generated as functions of the single observed trajectory.

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