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Comparison of the Simple Random Walk and the Annealed RWRE

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Jeremy
Voltz
This uses Nora Delius's Simple Random Walk sketch. This is a side by side comparison of the endpoint distribution of the Simple Random Walk versus a Random Walk in a Random Environment (Annealed). The random environment consists of two biased coins, one with p=.75 of heads, the other p=.25 of heads. An environment of coins is fixed, one for each site, a walk is taken in that environment, and then a new random environment is chosen, another walk is taken, and so on. As we are averaging with respect to the environment by resampling for each path, we see normally distributed, symmetric be
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