A Random Walk with Collapsing Bonds and Its Scaling Limit
概率论
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0611734,
title = {A Random Walk with Collapsing Bonds and Its Scaling Limit},
author = {Majid Hosseini and Krishnamurthi Ravishankar},
journal= {arXiv preprint arXiv:math/0611734},
year = {2007}
}
备注
10 pages