A Random Walk with Collapsing Bonds and Its Scaling Limit
Authors:
Majid Hosseini a;
Krishnamurthi Ravishankar a
| Affiliation: | a Department of Mathematics, State University of New York at New Paltz, New Paltz, New York, USA |
DOI:
10.1080/07362990701670241
Publication Frequency:
6 issues per year
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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.
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| Keywords: Dynamic random environment; Scaling limit; Self-interacting random walks |
| Mathematics Subject Classification: Primary 60K37; Secondary 60F17, 60G50 |
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