@article{EJP345,
author = {Noam Berger and Itai Benjamini and Omer Angel and Yuval Peres},
title = {Transience of percolation clusters on wedges},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {11},
year = {2006},
keywords = {percolation; transience; wedges},
abstract = {We study random walks on supercritical percolation clusters on wedges in $Z^3$, and show that the infinite percolation cluster is (a.s.) transient whenever the wedge is transient. This solves a question raised by O. Häggström and E. Mossel. We also show that for convex gauge functions satisfying a mild regularity condition, the existence of a finite energy flow on $Z^2$ is equivalent to the (a.s.) existence of a finite energy flow on the supercritical percolation cluster. This answers a question of C. Hoffman.},
pages = {no. 25, 655-669},
issn = {1083-6489},
doi = {10.1214/EJP.v11-345},
url = {http://ejp.ejpecp.org/article/view/345}}