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On the equivalence of the static and dynamic point of view for diffusions in a random environment
Tom SchmitzAbstract
We study the equivalence of the static and dynamic point of view for diffusions in a random environment in dimension one. First we prove that the static and dynamic distributions are equivalent if and only if either the speed in the law of large numbers does not vanish, or
We moreover show that the equivalence of the static and dynamic point of view is characterized by the existence of so-called "almost linear coordinates".
- Received:
- 25.09.08
- Published:
- 29.09.08
- MSC Codes:
- 60K37, 82D30
- Keywords:
- diffusion in random environment, environment viewed from the particle, invariant measures, almost linear coordinates