interested in how fast the probability distribution diffuses. Anderson's analysis shows the following:
* If is 1 or 2, and is arbitrary, or if and is sufficiently large, then the probability distribution remains localized: uniformly in . This phenomenon is called Anderson localization.
* If , and is small, then where D is the diffusion constant.

Analysis

The phenomenon of Anderson localization, particularly that of weak localization, finds its origin in the

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