@article{ECP978,
author = {Itai Benjamini and Oded Schramm},
title = {Percolation Beyond $Z^d$, Many Questions And a Few Answers},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {1},
year = {1996},
keywords = {Percolation, criticality, planar graph, transitive graph, isoperimetericinequality},
abstract = {A comprehensive study of percolation in a more general context than the usual $Z^d$ setting is proposed, with particular focus on Cayley graphs, almost transitive graphs, and planar graphs. Results concerning uniqueness of infinite clusters and inequalities for the critical value $p_c$ are given, and a simple planar example exhibiting uniqueness and non-uniqueness for different $p>p_c$ is analyzed. Numerous varied conjectures and problems are proposed, with the hope of setting goals for future research in percolation theory.},
pages = {no. 8, 71-82},
issn = {1083-589X},
doi = {10.1214/ECP.v1-978},
url = {http://ecp.ejpecp.org/article/view/978}}