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arXiv:math/0611734 [math.PR]AbstractReferencesReviewsResources

A Random Walk with Collapsing Bonds and Its Scaling Limit

Majid Hosseini, Krishnamurthi Ravishankar

Published 2006-11-24Version 1

We introduce a new self-interacting random walk on the integers in a dynamic random environment and show that it converges to a pure diffusion in the scaling limit. We also find a lower bound on the diffusion coefficient in some special cases. With minor changes the same argument can be used to prove the scaling limit of the corresponding walk in Z^d.

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