A Random Walk with Collapsing Bonds and Its Scaling Limit
  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. 
Majid Hosseini and Krishnamurthi Ravishankar