A Random Walk with Collapsing Bonds and Its Scaling Limit

Details A Random Walk with Collapsing Bonds and Its Scaling Limit A Random Walk with Collapsing Bonds and Its Scaling Limit

2006-11-24

arxiv.org/abs/math/0611734v1

Mathematics

Probability

10 pages

Scientific paper

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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