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A Random Walk with Collapsing Bonds and Its Scaling Limit |
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| Authors: | Majid Hosseini Krishnamurthi Ravishankar |
| Affiliation: | 1. Department of Mathematics , State University of New York at New Paltz , New Paltz, New York, USA hosseinm@newpaltz.edu;3. Department of Mathematics , State University of New York at New Paltz , New Paltz, New York, USA |
| Abstract: | Abstract 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 ? d . |
| Keywords: | Dynamic random environment Scaling limit Self-interacting random walks |