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.
Comments: 10 pages
Categories: math.PR
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